Chapter 7.CT, Problem 16CT

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

For rectangle MNPQ, points A, B, C and D are the midpoints of the sides.

a) What type of quadrilateral (not shown) is *ABCD?*

b) Are the inscribed circle for *ABCD* and the circumscribed circle for *MNPQ* concentric circles?

To determine

**(a)**

**To find:**

*ABCD *is what type of quadrilateral.

Explanation

**Properties of rhombus:**

1. All sides are congruent.

2. Diagonals are perpendicular bisectors of each other.

3. Each diagonal is the angle bisector of both the opposite angles.

4. Every rhombus is a parallelogram and a kite with all sides of equal length.

**Calculation:**

**Given:**

For rectangle MNPQ, points A, B, C and D are the midpoints of the sides.

Now we have to what type of quadrilateral (not shown) is *ABCD...*

To determine

(b)

**To find:**

The inscribed circle for ABCD and the circumscribed circle for MNPQ are concentric circles.

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