100k views
1 vote
Match the proof part 1:​

Match the proof part 1:​-example-1
User ErMasca
by
6.1k points

1 Answer

1 vote

Answer:

A, B, C

Explanation:

Step 1: "AB ≅ DE, AC ≅ DF, and ∠A ≅ ∠D"

A. Given.

This is the information that was given in the problem statement.

Step 2: "ΔABC ≅ ΔDEF"

B. Side-Angle-Side Postulate (SAS)

The SAS postulate says that if two triangles have a pair of congruent angles between two pairs of congruent sides, then the triangles must be congruent. From the previous step, we can conclude the triangles are congruent.

Step 3: "∠C ≅ ∠F"

C. Corresponding parts of congruent triangles are congruent (CPCTC)

In Step 2, we established the triangles are congruent. So now we can conclude that the corresponding angles are congruent.

User Mukesh Sharma
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.