   Chapter 5.6, Problem 14E 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

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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