Name: SAT Math Help & School Math Mastery
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#20834

geometry

congruence

hard

180 sec

Triangles $A BC$ and $D EF$ are such that $∠ A = 5 0^{\circ}$ , $∠ B = 7 0^{\circ}$ , $∠ D = 5 0^{\circ}$ , and $∠ E = 7 0^{\circ}$ . Which of the following conditions, if true, would be sufficient to prove that $△ A BC ≅ △ D EF$ ?

A.

$A C = EF$

B.

$BC = EF$

C.

$A B = A C$

D.

The ratio of the lengths of $A B$ to $D E$ is $1 : 2$ .