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Chapter 5: Q6 (page 187)

Copy the chart. Then place check marks in the appropriate spaces.

Short Answer

Expert verified

Property

Parallelogram

Rectangle

Rhombus

Square

Diags. are≅

yes

yes

Step by step solution

01

Step 1. Description of step.

A parallelogram is a quadrilateral whose diagonals bisect each other and need not be congruent.

The rectangle is a special type of parallelogram in which opposite sides are parallel and the interior angles are right angles. Diagonals of a rectangle bisect each other and they are congruent.

02

Step 2. Description of step.

Rhombus is a special type of parallelogram whose opposite sides are parallel and all the four sides are equal in length. Diagonals of a rhombus are perpendicular bisectors of each other.

Square is a type of parallelogram whose opposite sides are congruent; all the sides are equal in length and the interior angles are right angles. Diagonals of a square bisect each other and they are congruent.

03

Step 3. Description of step.

In rectangle and square, diagonals are congruent. Therefore,

Property

Parallelogram

Rectangle

Rhombus

Square

Diags. are≅

yes

yes

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