Chapter 4.4, Problem 32E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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 base angles of a trapezoid are congruent, the trapezoid is an isosceles trapezoid.

To determine

To Prove:

If two base angles of a trapezoid are congruent, the trapezoid is an isosceles.

Explanation

Consider the trapezoid RSTV

Given: In trapezoid RSTV RS||VTâ€Šandâ€Šâ€Šâ€Šâˆ Vâ‰…âˆ T.

Prove: RSTV is an isosceles trapezoid.

Plan: Draw auxiliary altitudes RXÂ¯â€Šâ€Šâ€Šandâ€ŠSYÂ¯ in such a way that RXÂ¯â€Šâ€ŠâŠ¥VTâ€Šâ€Šâ€Šâ€Šâ€ŠÂ¯â€Šandâ€ŠSYÂ¯âŠ¥VTÂ¯

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