Chapter 5.3, Problem 19E

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

Elementary Geometry For College St...

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

In Exercises 17 to 24, complete each proof.Given: ∠ H ≅ ∠ F Prove: Δ H J K ∼ Δ F G K Exercises 19, 20 PROOF Statements Reasons 1. ? 1. Given 2. ∠ H K J ≅ ∠ F K G 2. ? 3. ? 3. ?

To determine

To complete:

The proof by using given information.

Explanation

Given:

Given: âˆ Hâ‰…âˆ F

Prove: Î”HJKâˆ¼Î”FGK

 PROOF Statements Reasons 1. ? 1. Given 2. âˆ HKJâ‰…âˆ FKG 2. ? 3. ? 3. ?

Definition:

AA:

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

Description:

Given that âˆ Hâ‰…âˆ F.

To Prove: Î”HJKâˆ¼Î”FGK

If two angles are vertical angles, then they are congruent. That is, âˆ HKJâ‰…âˆ FKG

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