Chapter 4.3, Problem 3E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Being as specific as possible, name the *type* of parallelogram that

a) has congruent diagonals.

b) has perpendicular diagonals.

To determine

(a)

**To name:**

The type of parallelogram that has congruent diagonals.

Explanation

**Corollary:**

The diagonals of a rectangle are congruent.

**SAS Rule for triangle congruency:**

**Calculation:**

**Definition:**

Rectangle is a parallelogram with a right angle.

*MNPQ* is a rectangle with diagonals

Opposite sides of a parallelogram are congruent. So,

To determine

(b)

**To name:**

The type of parallelogram that has perpendicular diagonals.

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