Question

The Triangle whose vertices are (2,5), (3,1), and (4, 2) is transformed by the rule (x,y) --> (x-2, y+4). Is the image similar or congruent to the original figure?
A. The image is congruent to the original triangle.
B. The image is similar but not congruent to the original triangle.
C. The image is neither similar nor congruent to the original triangle.

Answer 1

B. The image is similar but not congruent to the original triangle.

Since the transformation involved only translations (shifting the triangle horizontally by -2 units and vertically by 4 units), the size and shape of the triangle remain the same. Therefore, the image is similar to the original triangle.