Question

complete the congruence statement for the figure below. △cde≌

o a. △clm
o b. △cml
o c. △lcm
o d. △mcl

Explanation:

In congruent triangles, corresponding vertices must match. From the figure: ∠D corresponds to ∠L (marked equal), ∠E corresponds to ∠M (marked equal), and ∠DCE corresponds to ∠LCM (vertical angles). Side DE corresponds to LM (single ticks), side CE corresponds to CM (double ticks), and side CD corresponds to CL (implied by angle matching). Thus, vertex D→L, C→C, E→M, so △CDE ≅ △CLM.

Answer:

a. △CLM