   Chapter 5.3, Problem 13E 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 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. ∠VWR≅∠VXT 3. ? 4. ∠R≅∠T 4. ? 5. ΔVWR∼ΔVXT 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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