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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 27-30, use the definition of a parallelogram to

complete each proof.

Given: R S - V T - , R V - V T - , and S T - V T -

Prove: RSTV is a parallelogram

Chapter 4.1, Problem 27E, In Exercises 27-30, use the definition of a parallelogram to complete each proof. Given:RS-VT-,

PROOF
Statements Reasons
1. R S - V T - 1.?
2.? 2.Given
3.? 3.If two lines are to the same line, they are , to each other
4.? 4.If both pairs of opposite side of a quadrilateral are , the quadrilateral is a

To determine

To prove:

The quadrilateral RSTV is a parallelogram.

Explanation

Given:

In the quadrilateral RSTV, RS¯VT¯, RV¯VT¯, and ST¯VT¯.

PROOF
Statements Reasons
1. RS¯VT¯ 1.?
2.? 2.Given
3.? 3.If two lines are to the same line, they are , to each other
4.? 4.If both pairs of opposite side of a quadrilateral are , the quadrilateral is a

Corollary:

The opposite sides of a parallelogram are congruent.

From the given quadrilateral RSTV, RS¯VT¯, RV¯VT¯, and ST¯VT¯

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