Question

Check my answer? :-)

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?
Select one:
a. Angle B is congruent to angle D.
b. Segments AB and DE are congruent.
c. Angle B is congruent to angle E.
d. Segment AC is congruent to segment DF, and segment BC is congruent to segment EF.

Is it C?

Answer 1

@Directrix

Answer 2

You want to prove the triangles are similar, not congruent.
Dilation means making it larger. The sides cannot be congruent.

Answer 3

Use the AA Similarity Postulate.

You need two pairs of corresponding congruent angles.

Answer 4

Do you know methods of proving similar triangles?

Answer 5

Look at the order of the vertices.

Answer 6

Does B go to E?

Answer 7

Yes it does.

Answer 8

\(\triangle A\color{red}{B}C \) and \(\triangle D\color{red}{E}F\)

Answer 9

So it is C then @mathstudent55

Answer 10

Correct.

Answer 11

Thanks to you both!

Answer 12

When I wrote above that you do not need congruent sides, that eliminated choices B and D.
From the choices left, only C makes sense.

Answer 13

You're welcome.