5.6 Investigation 3

Do Rectangle Diagonals Have Special Properties?
Step 1: Draw a large rectangle using the lines on a piece of graph paper as a guide.[br][br]Step 2: Draw in both diagonals With your compass, compare the lengths of the two diagonals[br]Compare results with your group. In addition, recall that a rectangle is also a parallelogram. So its diagonal also have the properties of a parallelogram's diagonals. Combine these ideas to complete the conjecture.[br][br]What happens if you combine the properties of a rectangle and a rhombus? We call the shape a square, and you can think of it as a regular quadrilateral. So you can define it in two different ways.[br][br]A square is an equiangular rhombus [br][br]A square is an equilateral rectangle [br][br]A square is a parallelogram, as well as both a rectangle and a rhombus. Use what you know about the properties of these three quadrilateral to copy and complete this conjecture.[br][br]Rectangle Diagonals Conjecture [br]The diagonals of a rectangle are congruent and bisectors to each other [br][br]Square Diagonals Conjecture[br]The diagonal of a square are congruent, perpendicular, and bisectors
Do Rectangle Diagonals Have Special Properties?
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Information: 5.6 Investigation 3