Question

which congruency statement can be written for the triangles pictured? △abc ≅ △edc △acb ≅ △edc △ecd ≅ △cab

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. In the figure, $\angle ACB=\angle ECD$ (vertical angles).

Step2: Check side - side - side (SSS) or side - angle - side (SAS) congruence

From the markings on the sides of the triangles (assuming two pairs of sides are equal as per the tick marks), and with the vertical angles (angle) equal.
We match the vertices. Vertex \(A\) corresponds to vertex \(E\), vertex \(C\) corresponds to vertex \(C\) (common vertex in the angle equality), and vertex \(B\) corresponds to vertex \(D\). So \(\triangle ACB\cong\triangle ECD\) (which is same as \(\triangle ECD\cong\triangle ACB\) as congruence is commutative)

Answer:

\(\triangle ECD\cong\triangle CAB\)