Question

Part 1: Use the transformations to prove congruency​

Answer 1

See Explanation

Explanation:

`\overline{CB} ||\overline {ED}... (GIVEN) \\</p><p>\& BD\:\&\: CE \: are \: transversals\\</p><p> \angle CBF\cong \angle EDF.. (alternate \: \angle 's) \\</p><p>\overline{CB} \cong \overline {ED}..... (GIVEN) \\</p><p>\angle BCF \cong \angle FED.. (alternate \: \angle 's) \\</p><p>\therefore \triangle CBF \cong \triangle EDF.. (By \: ASA\: Postulate)`

Answer 2

Answer: see proof below

Explanation:

Statement Reason

1. CB || ED 1. Given

2. ∠E ≅ ∠C 2. Alternate Interior Angle Postulate

3. ∠D ≅ ∠B 3. Alternate Interior Angle Postulate

4. CB ≅ ED 4. Given

5. ΔCBF ≅ ΔEDF 5. ASA Congruency Theorem