Question

Given: \overline{DF} \parallel \overline{HG}, F is the midpoint of \overline{EG} \overline{DF} \cong \overline{HG} Prove: \triangle DEF \cong \triangle HFG Statements Reasons 1. 1. Given 2. F is the midpoint of \overline{EG} 2. 3. 3. Given 4. Corresponding Angles 4. 5. \overline{EF} \cong \overline{FG} 5. 6. \triangle DEF \cong \triangle HFG 6.

          Given: \overline{DF} \parallel \overline{HG}, F is the midpoint of \overline{EG}
\overline{DF} \cong \overline{HG}
Prove: \triangle DEF \cong \triangle HFG
Statements
Reasons
1.
1. Given
2. F is the midpoint of \overline{EG}
2.
3.
3. Given
4. Corresponding Angles
4.
5. \overline{EF} \cong \overline{FG}
5.
6. \triangle DEF \cong \triangle HFG
6.

Given: DF ∥HG, F is the midpoint of EG
DF ≅HG
Prove: DEF ≅HFG
Statements
Reasons
1.
1. Given
2. F is the midpoint of EG
2.
3.
3. Given
4. Corresponding Angles
4.
5. EF ≅FG
5.
6. DEF ≅HFG
6.

Added by Stephanie D.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Tim Thornhill

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Step 1: Statement: DF ∥ HG Reason: Given Show more…

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Given: DF = HG, F is the midpoint of EG Prove: ADEF = AHFG Reasons Statements 1. Given 2. F is the midpoint of EG 3. Given 4. Corresponding Angles 5. EF = FG 6. ADEF = AHFG