Question

Name the similar triangles. Triangles CBA and DEF with angle D congruent to angle C and angle E congruent to angle B.

Option 1: ΔABC ~ ΔDEF
Option 2: ΔABC ~ ΔEFD
Option 3: ΔABC ~ ΔDFE
Option 4: ΔABC ~ ΔFED

Answer 1

Based on the congruence of angles D to C and E to B, the similar triangles are ∆ABC and ∆DEF, making Option 1 the correct answer.

Step-by-step explanation:

To determine which pair of triangles are similar, we need to match corresponding angles in triangle CBA with corresponding angles in the other triangle. Given that angle D is congruent to angle C and angle E is congruent to angle B, we can safely say that the correct option is ∆ABC ~ ∆DEF. This means that Option 1 is correct because in similar triangles, corresponding angles are equal, and when naming similar triangles, the order of vertices matters as it indicates which angles and sides correspond to each other in the similarity statement.