triangle abc is dilated to form new triangle def. if angle a is congruent to angle d, what other information will prove that the two triangles are similar?
angle b is congruent to angle e.
side ab is congruent to side de.
angle c is congruent to angle d.
side bc is congruent to side ef.

answer: angle b is congruent to angle e.

step-by-step explanation:

given: triangle abc is dilated to form new triangle def.

to prove triangles similar, we can use aa similarity postulate which says that two triangles are similar if they have two corresponding angles congruent .

if angle a is congruent to angle d, then one more pair of corresponding angles can prove the triangles similar.

since, triangle abc is dilated to triangle def, then angle b is corresponding to angle e and angle c is corresponding to angle f.

therefore the other information will prove that the two triangles are similar can be :

angle b is congruent to angle e.  

or angle c is congruent to angle f.  

hence, the first option is correct "angle b is congruent to angle e."

angle b is congruent to angle e.

answer;

the correct answer

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