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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 13 to 16, provide the missing reasons.

Given: R S T V ; V W ¯ R S ¯ ; V X ¯ T S ¯

Prove: Δ V W R Δ V X T

PROOF
Statements Reasons
1. R S T V ; V W ¯ R S ¯ ; V X ¯ T S ¯ 1. ?
2. V W R and V X T are right s 2. ?
3. V W R V X T 3. ?
4. R T 4. ?
5. Δ V W R Δ V X T 5. ?

To determine

To provide:

The missing reasons.

Explanation

Given:

Given: RSTV;VW¯RS¯;VX¯TS¯

Prove: ΔVWRΔVXT

PROOF
Statements Reasons
1. RSTV;VW¯RS¯;VX¯TS¯ 1. ?
2. VWR and VXT are right s 2. ?
3. VWRVXT 3. ?
4. RT 4. ?
5. ΔVWRΔVXT 5. ?

Definition:

AA:

If the two angles of one triangle are congruent to the two angles of another triangle, then the triangles are similar.

Description:

Given that RSTV;VW¯RS¯;VX¯TS¯.

To Prove: ΔVWRΔVXT

It is known that two lines are perpendicular, they form right angles

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