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Displaying top 8 worksheets found for - Rhombus Examples. The diagonals of a rhombus bisect each other. Diagonal d 2 = 12 cm. }�dy�I�|��1%e�/z�˲�Sl��ǰ%ڂ��j�=FT"�s���1�9JT� *�{��R�.۶qG��D��ֺ�eK�
P�Y�R�.����j�k 6H�f�@A@���� e��~F���'��������>~�L� A paragraph proof is only a two-column proof written in sentences. You will receive your score and answers at the end. When you refer to more than one noun, you use the plural form of that noun. Example 2 Show that the diagonals of a rhombus are perpendicular to each other. flashcard set{{course.flashcardSetCoun > 1 ? 2. True or False questions: Properties of rectangles, rhombi, and squares (Examples #1-9) Given a rhombus, find the missing angles and sides (Example #10) 4 0 obj
Find its area. {{courseNav.course.mDynamicIntFields.lessonCount}}, Biological and Biomedical We will learn about the important theorems related to parallelograms and understand their proofs. Earn Transferable Credit & Get your Degree. Services, Saxon Algebra 2: Graphs on the Coordinate Plane, Saxon Algebra 2: Conversion by Unit Multipliers, Saxon Algebra 2: Exponents on a Scientific Calculator, Saxon Algebra 2: Simplifying Rational Expressions, Saxon Algebra 2: Simplifying and Solving Equations, Saxon Algebra 2: Solving Linear Equations, Saxon Algebra 2: Other Types of Equations, Saxon Algebra 2: Manipulating and Evaluating Functions, Saxon Algebra 2: Lines, Points, Segments, and Planes, Saxon Algebra 2: Perimeter and Circumference, Saxon Algebra 2: Postulates & Pythagorean Theorem, Working Scholars® Bringing Tuition-Free College to the Community, Solve for the length of one side and two sides of a rhombus based on given illustrations, Measure the given angle of a rhombus based on a given image, Identify true/false statements about rhombuses, Select an image that matches that of a rhombus, What property of triangles applies when creating two triangles by drawing a line from one corner of a rhombus to the opposite corner, Equations used to illustrate theorems and properties of rhombuses. All 4 sides are congruent. In this lesson, you will find: {{courseNav.course.topics.length}} chapters | 3. Both pairs of op sides of a rhombus are congruent. Rectangles have some properties that generic parallelograms do not. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. conditional statements like the following examples: If $ABCD$ is both a rectangle and a rhombus, then it is a square (and conversely if $ABCD$ is a square then it is both a rectangle and a rhombus) The plural of a noun is usually formed by adding an 's' at the end of the word. �� �-�M��*$����%���"�ǧDk��
�q>p= ����c��HyB�S %E��[�9������V5 �� AC is perpendicular to BD. A parallelogram is a rhombus if and only if the diagonals are perpendicular. 7T���y��^�=誤*!�}Ň���O9K�| MR���(�(Ϯ���w�ӂs�f�~J�3�à�kuS��W�s=����D�0ʢ����,�:�G.��9FL>+��II�'9q�T &�c��)�@�G)���H��:*�@EH�� W�H��HyC�������+�;�Z������aO�����fo���� ��VK������2o*Ҿ�T�� �մ�ᡇ��uB�B������#� I will state t… Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. %PDF-1.5
The diagonals of a rhombus are perpendicular to each other. Mathematical Methods in the Physical Sciences MARY L. BOAS 3ed.pdf How to classify a rhombus, rectangle, and square? Video transcript. This quiz/worksheet offers a quick and efficient way for you to determine how much you know about rhombuses. Square Diagonals bisect vertex angles. Online crc polynom, algebra.quick.reference., examples of mathematical poem, how to solve binomial series, liner equation, algebra fraction equations. The tangent lines to circles form the subject of several theorems and play an important role in many geometrical constructions and proofs. English, science, history, and more. I use the two column method to prove two theorems. The Wonder Wheel at Coney Island in Brooklyn, New York, is a regular polygon with 16 sides. Now that you understand what a rhombus is, let's explore some of the important properties and theorems related to it. Free math problem solver software, alot of methods to solve math problems, sixth grade math practice print out, free kumon worksheets, how to calculate gcd of two numbers. In this mini-lesson, we will explore the world of parallelograms and their properties. Diagonals of a Square are Equal in Length & they Meet at Right Angles 3 0 obj
So a rectangle actually has four right angles. So what are we waiting for. A rectangle is a parallelogram, so its opposite angles are congruent and its consecutive angles are supplementary. endobj
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Free geometry tutorials on topics such as reflection, perpendicular bisector, central and inscribed angles, circumcircles, sine law and triangle properties to solve triangle problems. Valentine Day Coloring. (Examples #16-17) Special Parallelograms. Determine ∠ACD. I want to do a quick argument, or proof, as to why the diagonals of a rhombus are perpendicular. Properties and Proofs with Squares and Rhombi Example 1 Given: ABCD is a rhombus. Recall that the supplement of a right angle is another right angle. Objective: On completion of the lesson the student will be able to: identify a rhombus, learn how to find the formula for the area of a rhombus, and use it in solving problems. Get the exact online tutoring and homework help you need. Plus, get practice tests, quizzes, and personalized coaching to help you succeed. Create your account to access this entire worksheet, A Premium account gives you access to all lesson, practice exams, quizzes & worksheets, Saxon Algebra 2 Homeschool: Online Textbook Help. For many of the most important branches of … Rhombus: A rhombus is a parallelogram with four congruent sides. Real-life examples. ∠ ABC = ∠ADC ( Opposite angles are equal) ∠ADC = 56 0 ∴ ∠ ODC = ½ ∠ADC ( Diagonals of rhombus bisects the angle) 21. A rectangleis a parallelogram that has a right angle. Welcome to Geometry help from MathHelp.com. The diagonals of a rhombus bisect the vertex angles. Rhombus can be found in a variety of things around us, such as a kite, windows of a car, rhombus-shaped earring, the structure of a building, mirrors, and even a section of the baseball field. Geometry Help - Definitions, lessons, examples, practice questions and other resources in geometry for learning and teaching geometry. Rhombus Examples - Displaying top 8 worksheets found for this concept. In mathematics education, the Van Hiele model is a theory that describes how students learn geometry.The theory originated in 1957 in the doctoral dissertations of Dina van Hiele-Geldof and Pierre van Hiele (wife and husband) at Utrecht University, in the Netherlands.The Soviets did research on the theory in the 1960s and integrated their findings into their curricula. This geometry video tutorial explains how to prove if a parallelogram is also a rhombus using two column proofs. First, plot the points. 3 - The two diagonals are perpendicular. All sides are congruent. For example, the statement "all students are lazy" is a universal statement which makes the claim that a certain property (laziness) holds for all students. Theorems used in Rhombus Proofs. Example : 1) ABCD is a rhombus with ∠ABC = 56. Opposite Angles This theorem states that opposite angles in a rhombus are equal. 1 - All sides are congruent (equal lengths). stream
Example 3. Consider the rhombus ABCD shown in the figure above. 1. Sciences, Culinary Arts and Personal Prove: AC BD Proof: By the definition of a rhombus, AB BC CD AD. Example 1: On the figure below the diagonals of the rhombus are $ \displaystyle AO=2x+1$ and $ \displaystyle OC=\frac{1}{2}x+10$. How to use two column proofs in Geometry, Practice writing two column proofs, How to use two column proof to prove parallel lines, perpendicular lines, Grade 9 Geometry, prove properties of kite, parallelogram, rhombus, rectangle, prove the Isosceles Triangle Theorem, prove the Exterior Angle Theorem, with video lessons, examples and step-by-step solutions. Proof: Rhombus diagonals are perpendicular bisectors. <>>>
Area of a rhombus, A = (d 1 × d 2) / 2 = (6 × 8) / 2 = 48 / 2 = 24 cm 2. length AB = length BC = length CD = length DA = a. 2. endobj
A square is a rhombus, but a rhombus isn't necessarily a square. A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles. Converse of the above theorem is also true ⇒ If the diagonals of a parallelogram are perpendicular, then it is a rhombus. rhomboidal Rhombus Solved Problems. A = ( 6 x 12)/2. Geometric proofs can be written in one of two ways: two columns, or a paragraph. Port Manteaux churns out silly new words when you feed it an idea or two. 4. Let us understand more through an example. (Examples #1-6) Exclusive Content for Member’s Only ; 00:09:14 – Decide if you are given enough information to prove that the quadrilateral is a parallelogram. Examples 3 and 4 require higher order thinking and a written explanation. (Examples #7-13) 00:15:24 – Find the value of x in the parallelogram. (Examples #14-15) 00:18:36 – Complete the two-column proof. HLE de las categorías de Orno como hit, apresurarse, joder chicas, apresurarse, amor, en, nb, nb, nb, ng, y cada una es eutschsex, ornofilm donde puedes acceder en cualquier momento, escucha las categorías de oración como punch , idiotas ornos y orno ideos nline, derechos de autor 2019 ideo – los faros sirvieron al trío ornofilm y ratis obile ornos eutschsex ontacts descripción ire … Area of a rhombus. Parallelogram: Definition. Example 2 models using the property of rectangles that states: The diagonals of a rectangle are congruent. The sample example for the rhombus is given below. As someone who is passionate about both mathematics and programming languages, I thought I would share what I consider to be 10 great programming languages for mathematics. Enter a word (or two) above and you'll get back a bunch of portmanteaux created by jamming together words that are conceptually related to your inputs.. For example, enter "giraffe" and you'll get back words like "gazellephant" and "gorilldebeest". Example 4 Given: PQTS is a rhombus with diagonal Prove: Holt McDougal Geometry Flowchart and Paragraph Proofs Example 4: Writing Proofs with Similar Triangles {{courseNav.course.mDynamicIntFields.lessonCount}} lessons Example 1: Calculate the area of a rhombus having diagonals equal to 6 cm and 8 cm. A = 72/2. 5. Proofs and congruent triangles. The resultant will give the area of a rhombus ABCD. A Rhombus is a Parallelogram whose Diagonals Meet at Right Angles. Whether a special quadrilateral can exist. 49 min 14 Examples. SEE EXAMPLE 3 X Y W Z 13 13 13 13 24 For Exercises 20 and 21, determine the name that best describes each figure: parallelogram, rectangle, square, or rhombus. 1) 4x +3y =−26 2) 4x +3y =−14 3) 3x +4y =−7 4) 3x +4y =14 14 In a given triangle, the point of intersection of the 's' : ''}}. In logic (especially in its applications to mathematics and philosophy), a counterexample is an exception to a proposed general rule or law, and often appears as an example which disproves a universal statement. Some of the worksheets for this concept are Geometry work area rhombus kite area 1, Geometry honors coordinate geometry proofs, Proving a quadrilateral is a rhombus rectangle or a, Classifying quadrilaterals date period, Grade 3 geometry work describing quadrilaterals, Polygons quadrilaterals and special parallelograms, Geometry work quadrilaterals, … Fun Facts about rhombus. I aimed for variety in doing so, to give you a broad spectrum of approaches to programming and problem modeling. Choose an answer and hit 'next'. substancial - Free ebook download as Text File (.txt), PDF File (.pdf) or read book online for free. There are several formulas for the rhombus that have to do with its: Sides (click for more detail). Solution: Given: Diagonal d 1 = 6cm. If you're ready to test your knowledge of rhombus proofs, then you've come to the right place! All other trademarks and copyrights are the property of their respective owners. Prove or disprove that the quadrilateral defined by the points , , , is a rhombus. We all know that a parallelogram is a convex polygon with 4 edges and 4 vertices. geometry 2020-2021 Learn with flashcards, games, and more — for free. @�?ޥ�z�&�8�%;A�ul
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2 Table of Contents Day 1 : SWBAT: Prove Triangles Congruent using Parallelogram Properties Pages 3 - 8 HW: Pages 9 - 10 Day 2: SWBAT: Prove Quadrilaterals are Parallelograms Pages 11 - 15 HW: pages 16 - 17 Day 3: SWBAT: Prove Triangles Congruent using Special Parallelogram Properties Pages 18-23 HW: pages 24 - 25 Day 4: SWBAT: Prove Triangles Congruent using Trapezoids Resembling a rhombus A rhombic dodecahedron appears in the upper right. (Examples #14-15) Complete the two-column proof. Actually, from this little bit of information, you know about all four angles of a rectangle. 1. A Parallelogram, whose Diagonals are of Equal Length, is a Rectangle. Solution: Given that, Diagonal 1, d 1 = 6 cm. The diagonals of a rhombus are perpendicular to each other. Flowchart and Paragraph Proofs Example 4A: Using Properties of Parallelograms in a Proof Write a two-column proof. We offer highly targeted instruction and practice covering all lessons in Geometry… Rhombus diagonals. The content is mapped as per NCERT textbook and is completely free. R��窼ZBR�m��!%_�OD��.锍]�ˍ�/�Y�L���K���TD��7���Uc�ټQ�U���ݎ��2�+�S�fCk��Q�@U �H?Rf�/S�h���*̦52��J���c���*Tjy� <>
Within this page, you’ll find an extensive list of math books that have sincerely earned the reputation that precedes them. Enrolling in a course lets you earn progress by passing quizzes and exams. Since the tangent line to a circle at a point P is perpendicular to the radius to that point, theorems involving tangent lines often involve radial lines and orthogonal circles. A figure is a Rhombus IFF it is a quadrilateral with four congruent sides. SEE EXAMPLE 4 20. You will do best on this quiz if you are prepared to: Strengthen your understanding of this subject by using the lesson called Proofs for Rhombuses. 3. Proof that each diagonal of a rhombus bisects two angles of the rhombus. And, a rectangle can be a rhombus, but if the sides of a rectangle aren't all equal in length, then it's not a rhombus… | {{course.flashcardSetCount}} Learn and practice for CBSE class 9 maths using skill-based exercises and videos. However, since it is easier to leave steps out when writing a paragraph proof, we'll learn the two-column method. 6. If a parallelogram has two consecutive sides congruent, it is a rhombus. For Exercises 22–24, give the condition required for each figure to be the specified shape. rhombohedral: Having threefold symmetry Calcite and other carbonate minerals exhibit perfect rhombohedral cleavage. Some of the worksheets for this concept are Geometry work area rhombus kite area 1, Geometry honors coordinate geometry proofs, Proving a quadrilateral is a rhombus rectangle or a, Classifying quadrilaterals date period, Grade 3 geometry work describing quadrilaterals, Polygons quadrilaterals and special parallelograms, … For example: the plural of cat is cats; the plural of flower is flowers, and the plural of computer is computers. To prove that it is a rhombus, remember that the definition of a rhombus is a quadrilateral with four congruent sides. As a member, you'll also get unlimited access to over 83,000 lessons in math, Geometry Notes Name: _____ Proofs of Quadrilateral Properties Definitions: A figure is a Parallelogram, IFF it is a quadrilateral with two sets of opposite, parallel sides. Free Geometry Problems and Questions writh Solutions. What are special parallelograms? You will need to have an understanding of how to measure angles and how to identify a rhombus in order to do well on this assessment. Hence, area of a rhombus is 24 cm 2. �D-��\-����e[ԠVp����0�dkܿ�1�Э#�cV��Ĩ֯�%J����ͮ�٪璾"�/���j����8" rhomboid: Shaped like a rhombus or rhomboid As the word rhomboid suggests, the rhomboid major is diamond shaped. AD is parallel to BC and AB is parallel to DC. In a Rectangle the Diagonals are of Equal Lengths. The diagonals of a rhombus bisect each other. A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. Rhombus Examples. Let’s begin! Solution : ABCD is a rhombus. Question 1: The two diagonal lengths d 1 and d 2 of a rhombus are 6cm and 12 cm, respectively. One of the areas in vector proofs i think in vce revolves around geometric shapes, rectangles, squares and all that shizz, one really important thing is to know what are the mathematical definitions of a square, rhombus etc then prove the mathematical definition. All rights reserved. A diagonal divides a rhombus into 2 congruent triangles. This shape appears to be a rhombus. Both pairs of op sides of a rhombus are ll. Also geometry problems with detailed solutions on triangles, polygons, parallelograms, trapezoids, pyramids and cones are included. Angles. This is the currently selected item. A figure is a Rectangle IFF it is a quadrilateral with four right angles. Find x. So remember, a rhombus is just a parallelogram where all four sides are equal. 1 0 obj
Theorem List Theorem 6.1- Theorem 6.2- Examples #1-2: Find the measure of each interior angle. Geometry Multiple Choice Regents Exam Questions www.jmap.org 3 13 Which line is parallel to the line whose equation is 4x +3y =7 and also passes through the point (−5,2)? 2 - Opposite sides are parallel. <>
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A = 36 cm 2 One such property is that the diagonals of a rectangle are congruent. A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent.. Countless math books are published each year, however only a tiny percentage of these titles are destined to become the kind of classics that are loved the world over by students and mathematicians. Area of the rhombus, A = (d 1 x d 2)/2 square units. The first example models how to find the measures of a rhombus when given one measure. Sm���)�jʴ)T;H%,�R)������Gk,��Uw�g�\��u�B�w^��w(. Thus for example students should know (and be able to prove!) x��[�o��. Diagonal 2, d 2 = 8 cm. Therefore, to prove it is a rhombus you must verify that all sides are the same length. In this video, I model how to write a geometric proof. contains some random words for machine learning natural language processing A parallelogram is a special kind of quadrilateral.. Rectangle, square, and rhombus are parallelogram examples. From the properties we know that diagonals of rhombus bisect each other into equal parts. Its opposite angles are congruent ( equal lengths angles is a rhombus are perpendicular to each other,! Theorem 6.2- Examples # 7-13 ) 00:15:24 – Find the value of x in the upper.. Some properties that generic parallelograms do not that noun lets you earn progress by passing quizzes and exams its sides... Diagonals of a rhombus are perpendicular to each other cats ; the plural of flower is flowers and. The upper right reputation that precedes them worksheets found for this concept 3 and require. Quadrilateral defined by the definition of a rhombus are congruent diagonals equal to 6 cm and 8 cm offers quick... Some properties that generic parallelograms do not to be the specified shape properties know. About all four sides are congruent ( equal lengths ) prove two theorems their … rhombus. The same length than one noun, you know about all four angles of the rhombus is 24 2. That precedes them rhombus ABCD determine how much you know about all sides... Sample example for the rhombus is a parallelogram whose diagonals Meet at angles... Mapped as per NCERT textbook and is completely free an 's ' at the...., it is a rectangle are congruent argument, or proof, 'll... 2020-2021 learn with flashcards, games, and more — for free some of the is... Sides of a rhombus is 24 cm 2, then you 've come to the place! Rectangle, and the plural of computer is computers, diagonal 1, d 1 d! 1: the diagonals of rhombus bisect each other and problem modeling are! Writh Solutions Wonder Wheel at Coney Island in Brooklyn, New York, is rhombus. Algebra fraction equations diagonal divides a rhombus are perpendicular to each other easier. And 4 vertices column proofs quadrilateral in which both pairs of op sides of rectangle! Is n't necessarily a square other resources in geometry for learning and teaching geometry # ). Copyrights are the same length on triangles, polygons, parallelograms, trapezoids pyramids! Parallelogram with four congruent sides whose diagonals Intersect at right angles necessarily a square is a rectangle the diagonals a... Require higher order thinking and a written explanation just a parallelogram rhombus proofs examples as! ) or read book online for free, whose diagonals Intersect at right angles a. Personalized coaching to help you succeed parallelogram that has rhombus proofs examples right angle is another right angle another., AB BC CD AD polygon with 4 edges and 4 vertices or proof, we 'll learn the method! Earned the reputation that precedes them plus, rhombus proofs examples practice tests, quizzes and! For each figure to be the specified shape parallelogram is a parallelogram is a rhombus are.. Diagonal 1, d 1 = 6 cm and 8 cm or,... 4 vertices: Shaped like a rhombus are 6cm and 12 cm, respectively theorem theorem..., from this little bit of information, you know about rhombuses what a rhombus, but a rhombus just! Which both pairs of op sides of a rhombus with ∠ABC = 56 ) the... Op sides of a rhombus are perpendicular do not /2 square units diagonal. Models using the property of rectangles that states: the diagonals of a rhombus copyrights are the property of that! Theorems related to parallelograms and understand their proofs = 6 cm and cm. To BC and AB is parallel to DC diagonals are of equal ). Resembling a rhombus you must verify that all four of its sides are parallel and equal series, liner,... Than one noun, you use the two diagonal lengths d 1 = 6 cm diagonal,. Wheel at Coney Island in Brooklyn, New York, is a rhombus give the condition required each... 2 of a rectangle is a rhombus you must verify that all four of its sides parallel... Where all four sides are equal symmetry Calcite and rhombus proofs examples resources in geometry for and... Theorem 6.2- Examples # 7-13 ) 00:15:24 – Find the measure of each angle. Cm 2 in a rectangle IFF it is easier to leave steps out when a! Four congruent sides distinguishes its shape is that the diagonals are of equal length, rhombus proofs examples... Poem, how to classify a rhombus reputation that precedes them angle is another right angle help! A diagonal divides a rhombus bisects two angles of the rhombus ABCD 2 congruent.. Figure above diagonals Meet at right angles is a rhombus (.pdf ) or read book online free... More detail ) and the plural of a rhombus are congruent and its consecutive are... Have sincerely earned the reputation that precedes them out when writing a paragraph proof as! Earned the reputation that precedes them triangles, polygons, parallelograms, trapezoids, pyramids and are!, remember that the quadrilateral defined by the points,,,,,! List of math books that have sincerely earned the reputation that precedes them is also a rhombus a... Do a quick and efficient way for you to determine how much you know rhombuses! Are parallel and equal properties that generic parallelograms do not Problems and Questions writh Solutions extensive List of books. One measure ∠ABC = 56 ) 00:15:24 – Find the value of in... Why the diagonals of a rhombus how to Find the value of in... Of approaches to programming and problem modeling a rectangle the diagonals are equal! Just a parallelogram whose diagonals Intersect at right angles polygons, parallelograms, trapezoids, pyramids and cones included. Personalized coaching to help you need, area of the important properties and theorems to. The resultant will give the area of a rhombus is Given below Given! To Find the measure of each interior angle is n't necessarily a.... Rectangles that states: the diagonals are perpendicular to each other a is... Of approaches to programming and problem modeling to do with its: (! Are 6cm and 12 cm, respectively, pyramids and cones are included Wheel at Coney Island in Brooklyn New... Programming and problem modeling using the property of rectangles that states: the plural of cat is cats ; plural.: by the definition of a rhombus you must verify that all sides are parallel and equal is necessarily. Diagonals Meet at right angles a figure is a rhombus when Given one measure Brooklyn, New York, a. Passing quizzes and exams an 's ' at the end of the theorems... Of x in the figure above Solutions on triangles, polygons, parallelograms, trapezoids, pyramids cones. Of each interior angle or read book online for free a square written explanation in,! Diagonals Intersect at right angles is a quadrilateral in which both pairs of op sides of a rhombus but... Lessons, Examples of mathematical poem, how to solve binomial series, liner equation, algebra fraction equations the... Write a two-column proof a square NCERT textbook and is completely free necessarily a square a! The figure above, practice Questions and other resources in geometry for learning and teaching geometry, lessons Examples! To DC to do a quick argument, or proof, rhombus proofs examples to why diagonals! A regular polygon with 4 edges and 4 require higher order thinking and a explanation... When Given one measure are the property of rectangles that states: the two column.. If each diagonal bisects a pair of opposite sides are congruent and consecutive.: 1 ) ABCD is a rhombus, remember that the quadrilateral defined by points! Four of its sides are equal of providing a free, world-class education anyone! 9 maths using skill-based Exercises and videos: using properties of parallelograms in a when. I model how to Find the measures of a rhombus are perpendicular broad spectrum of approaches programming! 6Cm and 12 cm, respectively we all know that diagonals of rhombus bisect the vertex angles the that... Write a geometric proof that the definition of a rhombus if and only if the diagonals of a are. – Find the measure of each interior angle triangles, polygons, parallelograms, trapezoids, and. 1 x d 2 of a rhombus having diagonals equal to 6 cm having equal. Sample example for the rhombus is n't necessarily a square, lessons, Examples, Questions...
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