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svet-max [94.6K]
1 year ago
3

Prove BE is equal DF write in two column proof

Mathematics
1 answer:
nignag [31]1 year ago
6 0

We need to prove that

BE\cong DF

In order to do so, let's complete the table with the statements and respective reasons.

<em> Statement Reason</em>

<em />

1. AB ≅ CD Given

2. AE ≅ CF Given

3. ∠1 ≅ ∠2 Alternate interior angles formed by

parallel segments AB || CD and a transversal

4. ΔABE ≅ ΔCDF Postulate Side-Angle-Side

Conclusion: BE ≅ DF Corresponding sides of congruent triangles ΔABE ≅ ΔCDF

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