Chapter 4.3, Problem 3E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Being as specific as possible, name the type of parallelogram thata) 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 MPÂ¯ and NQÂ¯.

Opposite sides of a parallelogram are congruent. So, MNÂ¯â‰…QPÂ¯

MQÂ¯â‰…MQÂ¯ (By Identity property)

To determine

(b)

To name:

The type of parallelogram that has perpendicular diagonals.

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