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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 27 to 29, prove the indicated relationship.

Chapter 3.2, Problem 27E, In Exercise 27 to 29, prove the indicated relationship. Given: DFDG and FEEG Prove: DE bisects FDG

Given: D F ¯ D G ¯ and F E ¯ E G ¯
Prove: D E bisects F D G

To determine

To prove:

The given statement.

Explanation

Given:

The following figure shows the given diagram.

Given that,

DF¯DG¯ and FE¯EG¯

Approach:

By definition of SSS, triangles will be congruent if all three sides in one triangle is congruent to all three sides of second triangle.

The completed proof is shown in the following table.

PROOF
Statements Reasons
1. DF¯DG¯ and FE¯EG¯ 1. Given
2. DE¯DE¯ 2. Identity
3. ΔFDEΔGDE 3. SSS
4. FDEGDE 4. CPCTC
5. DE bisects FDG 5

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