   Chapter 6.1, Problem 39E 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

If S T ⌢ ≅ T V , ⌢ explain why Δ S T V is an isosceles triangle. To determine

To explain:

The statement “If STTV, why ΔSTV is an isosceles triangle”.

Explanation

Given:

The provided statement is “If STTV, ΔSTV is an isosceles triangle”.

Theorem used:

The measure of an inscribed angle of a circle is one-half the measure of its intercepted arc.

Calculation:

We have STTV.

From the figure we see that ST and TV are intercepted arcs of V and S respectively

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