Given that line segment DE is parallel to line segment AB, determine how triangles DEC and ABC can be shown to be similar.

Question

A. Since DCE ACB and DC = EC, the triangles are similar by angle-side

B. Since DCE ACB and AC = BC, the triangles are similar by angle-side.

C. Since DCE ACB and DEC ABC, the triangles are similar by angle-angle.

D. Since DCE ACB and DEC BAC, the triangles are similar by angle-angle.

Answer 1

C. Since ∠DCE ≅ ∠ACB and ∠DEC ≅ ∠ABC, the triangles are similar by angle-angle.