Chapter 3.2, Problem 27E

### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Chapter
Section

### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
32 views

# In Exercise 27 to 29, prove the indicated relationship. Given: D F Â¯ â‰… D G Â¯ and F E Â¯ â‰… E G Â¯ Prove: D E â†’ bisects âˆ  F D G

To determine

To prove:

The given statement.

Explanation

Given:

The following figure shows the given diagram.

Given that,

DFÂ¯â‰…DGÂ¯ and FEÂ¯â‰…EGÂ¯

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. DFÂ¯â‰…DGÂ¯ and FEÂ¯â‰…EGÂ¯ 1. Given 2. DEÂ¯â‰…DEÂ¯ 2. Identity 3. Î”FDEâ‰…Î”GDE 3. SSS 4. âˆ FDEâ‰…âˆ GDE 4. CPCTC 5. DEâ†’ bisects âˆ FDG 5

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