   Chapter 8.1, Problem 36E 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 34 to 36, provide paragraph proofs. Given: ▱ R S T V with V W ¯ ≅ V T ¯ Prove: A R S T V = ( R S ) 2 To determine

To prove:

ARSTV=(RS)2 if RSTV with RW¯VT¯

Explanation

Given,

RSTV with RW¯VT¯

Let RS is the length of the base of the parallelogram RSTV.

(i.e.) b=(RS)

Where, RS¯VW¯ and RS¯||VT¯

(i.e.) RS¯=VT¯

VW¯ is the height of the parallelogram.

The area of RSTV(A)=bh unit2

=(RS¯)(VW¯)

Since,

VW¯VT¯

(i

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