Question

Which two transformations performed on triangle ABC and its image will prove triangle ABC and triangle EBD are similar?

A. Dilation centered about the origin with a scale factor of 2.
B. Rotation of 90° counter-clockwise about the origin.
C. Rotation of 270° clockwise about point O.
D. Dilation centered about point O with a scale factor of 2.

Answer 1

Performing a dilation and a translation will prove the similarity between triangles ABC and EBD.

Correct option is A.

Step-by-step explanation:

To prove that triangles ABC and EBD are similar, we need to perform two transformations on triangle ABC and its image. The transformations that will prove the similarity are:

1. Dilation centered about the origin with a scale factor of 2. This means that triangle ABC will be enlarged by a factor of 2, while triangle EBD remains the same size.
2. Translation centered about point O. This means that triangle ABC will be moved to triangle EBD, while maintaining the same size and shape.