5.6 Investigation 3
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- diego83720
Do Rectangle Diagonals Have Special Properties?
Step 1: Draw a large rectangle using the lines on a piece of graph paper as a guide.
Step 2: Draw in both diagonals With your compass, compare the lengths of the two diagonals
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.
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.
A square is an equiangular rhombus
A square is an equilateral rectangle
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.
Rectangle Diagonals Conjecture
The diagonals of a rectangle are congruent and bisectors to each other
Square Diagonals Conjecture
The diagonal of a square are congruent, perpendicular, and bisectors