Chapter 10.2, Problem 39E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Show that quadrilateral

To determine

**To prove:**

The quadrilateral

Explanation

To prove that the quadrilateral is an isosceles trapezoid, we have to prove the following conditions.

Two sides are need to be parallel, so that the quadrilateral is a trapezoid.

For an isosceles trapezoid, the other two sides are equal.

By theorem,

If two lines are parallel, then their slopes are equal.

(i.e) If

The slope of the line that contains the points

Let

The given points are

Using the slope formula and choosing

The given points are

Using the slope formula and choosing

Here

Thus

If slopes are equal, then those lines are parallel

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