Part 1: Use the transformations to prove congruency

Mathematics

2 answers:

Rom4ik [11]4 years ago

7 0

Answer:

See Explanation

Step-by-step explanation:

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

Tasya [4]4 years ago

5 0

Answer: see proof below

<u>Step-by-step explanation:</u>

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

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