   Chapter 5.6, Problem 14E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Given: R W → bisects ∠ S R T Do the following equalities hold? a) R S S W = R T W T b) m ∠ S = m ∠ T To determine

a)

To check: Whether the equality RSSW=RTWT holds or not.

Explanation

Given:

RW bisects SRT.

Theorem used:

Angle bisector theorem:

If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle.

Calculation:

Given: RW bisects SRT

To determine

b)

To check: Whether the equality mS=mT holds or not.

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