A square is a special type of rectangle. A square is also a special type of rhombus. There are many options to prove a quadrilateral is a square. The most direct way of proving a square is to remember the properties that characterize a rectangle and a rhombus. Ways to Prove a Quadrilateral is a Square: Prove consecutive sides are congruent AND Prove consecutive sides are perpendicular. Construct: 3 points Use what you have learned about triangles and constructions to construct: • a parallelogram Use what you have learned about parallelograms and constructions to prove that your figure is a parallelogram. Constructions Extended Response Question INSERT PICTURE HERE WRITE YOUR RESPONSE HERE
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DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. (Notice the markings to denote parallel lines. You should use them in your diagrams when you have parallel lines.) PROVE THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite sides congruent.
Manisha S.
Please help me prove that A parallelogram is a rectangle if and only if its diagonals are congruent, and in that case the diagonals bisect each other.
Rudra S.
Using rectangular coordinates, prove that if the diagonals of a parallelogram are congruent, the parallelogram is a rectangle. (This problem has been adapted from an example given on page 29 of the Praxis Study Guide for the Mathematics Tests, ETS, 2003.)
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