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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In exercises 27 to 33, complete a formal proof.

If the midpoints of the sides of an isosceles trapezoid are joined in order, then the quadrilateral formed is a rhombus.

To determine

To Prove:

If the midpoints of the sides of an isosceles trapezoid are joined in order, then the quadrilateral formed is a rhombus.

Explanation

Consider the following trapezoids ABCD.

For an isosceles trapezoid AB||DCandADBC.

M and N are the midpoints of AD¯andBC¯.

P and Q are the midpoints of AB¯andDC¯.

If two parallel lines are cut by a transversal alternate interior angles are congruent.

It means ABDBDC

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