   Chapter 4.4, Problem 31E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In exercises 29 to 35, complete a formal proof.If two consecutive angles of a quadrilateral are supplementary, the quadrilateral is a trapezoid.

To determine

To Prove:

If two consecutive angles of a quadrilateral is supplementary, the quadrilateral is a trapezoid.

Explanation

Consider the trapezoid RSTV

Given: Consecutive angles of a trapezoid RSTV is supplementary.

Prove: RSTV is a trapezoid.

Plan: Draw auxiliary altitudes RX¯andSY¯ in such a way that RX¯VT¯andSY¯VT¯

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