Math  /  Geometry

QuestionFill in the missing statement and reason of the proof below. Given: ABECDE\triangle A B E \cong \triangle C D E. Prove: BCAD\overline{B C} \| \overline{A D}.
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Statement ABECDEA B E \cong \triangle C D E BEDE\overline{B E} \cong \overline{D E} AECE\overline{A E} \cong \overline{C E} BCEDAE\triangle B C E \cong \triangle D A E Type of Statement BCAD\overline{B C} \| \overline{A D}
Reason
Given Corresponding Parts of Congruent Triangle are Congruent (CPCTC)
Corresponding Parts of Congruent Triangle are Congruent (CPCTC)
Vertical angles are congruent
SAS
If two lines cut by a transversal form congruent alternate interior angles, then th two lines are parallel /www.deltamath.com/app/student/...

Studdy Solution
Statement: BCAD\overline{BC} \parallel \overline{AD}
Reason: If two lines cut by a transversal form congruent alternate interior angles, then the two lines are parallel.
The missing statement and reason have been filled in, and the proof is complete.

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