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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 Exercise 13and 14, complete each proof.

Given: H J ¯ K L ¯ and H K ¯ H L ¯ (See figure below)
Chapter 3.2, Problem 13E, In Exercise 13and 14, complete each proof. Given: HJKL and HKHL See figure below Prove: KJJL PROOF
Prove: K J ¯ J L ¯
PROOF
Statements Reasons
1. H J ¯ K L ¯ and H K ¯ H L ¯ 1. ?
2. s H J K and H J L are rt s
2. ?
3. H J ¯ H J ¯ 3. ?
4. ? 4. HL
5. ? 5. CPCTC

To determine

To prove:

The given statement.

Explanation

Given:

The following figure shows the given diagram.

Given that,

HJ¯KL¯ and HK¯HL¯.

Approach:

By definition of hypotenuse leg congruency (HL), if two triangles have corresponding sides that are then triangle will be congruent.

The completed proof is shown in the following table.

PROOF
Statements Reasons
1. HJ¯KL¯ and HK¯HL¯ 1. Given
2.s HJK and HJL are right s
2.HJ¯KL¯
3.HJ¯HJ¯ 3. Identity
4. ΔHJKΔHJL 4

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