Question

Triangle ABC is dilated to create triangle DEF on a coordinate grid. You are given that angle A is congruent to angle D. What other information is required to prove that the two triangles are similar?

1) Angle B is congruent to angle D.


2) Segments AB and DE are congruent.


3) Angle B is congruent to angle E.


4) Segment AC is congruent to segment DF, and segment BC is congruent to segment EF.

ITS NOT OPTION 4!!!

Answer 1

The correct option is;

Angle B is congruent to angle E

Explanation:

The given parameters are;

Triangle ΔABC, is dilated into triangle ΔDEF

Therefore, ∠A, ∠B, and ∠C of triangle ΔABC corresponds with ∠D, ∠E, and ∠F, of triangle ΔDEF

Given that ∠A is congruent to ∠D, the other information required to prove that the two triangles are similar includes;

1) ∠B is congruent to ∠E which are corresponding angles

2) ∠C is congruent to ∠F which are also corresponding angles

Therefore, the correct option is angle B is congruent to angle E