Question

Consider the diagram below.

Which of the following is a correct congruence statement for the triangles?
ABCDEF
AABC SAEDF
ABC SAEFD

Answer 1

ΔABC ≅ ΔEFD

Explanation:

The congruence statement will list corresponding parts of the figures in the same order.

The left side of the statement is ΔABC, so we need to find the parts that correspond to A, B, and C, and list them in the same order. We notice that A is the marked angle, as is E. B is the other end of the line segment with 1 hash mark, as is F. Then corresponding vertices are ...

• A and E
• B and F
• C and D

Consequently, the congruence statement must be ...

ΔABC ≅ ΔEFD