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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Section
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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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? _____________________

Chapter 7.CT, Problem 16CT, For rectangle MNPQ, points A, B, C and D are the midpoints of the sides. aWhat type of quadrilateral

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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