Question

Explain what would happen to a figure if you transformed it using the rule(x-2,y+4). Then state whether the image would be similar, congruent, both, or neither.

Answer 1

The figure would move 2 units to the left and 4 units up and the image would be congruent.

Explanation:

If you transformed a figure using the rule (x-2, y+4).

Then the figure would move 2 units to the left (x-2) and 4 units up (x+4).

Similar figures would have the same shapes but different sizes.

Congruent figures would have the same shapes and same sizes but might be rotated.

Figures can not be both similar and congruent.

Moving the whole shape will not change the size; therefore, the figures would be congruent.