Chapter 5.4, Problem 17PSB

Solution

a.

To find:Information about PQRS

Given:

PQRS is a kite and also a rectangle.

Explanation:

Here, we know that

PQRS is a rectangle

So, $PQ=RS$

And, $PR=QS$

(because opposite sides are equal of a rectangle)

Also, $PS=QR$

(because diagonals of a rectangle are equal)

b.

To draw:A quadrilateral that is not convex and still satisfies the definition of a kite.

Given:

A kite

Explanation:

  

If either of the end angles is greater than ${180}^{\circ }$ , the kite becomes concave. This shape is sometimes called a dart.