Question

What will happen to dilated line Y'A' if triangle XYZ is dilated by a scale factor of four about the center of the triangle?

A. Y'A' will be parallel to line YA and pass through point Z.
B. Y'A' will be perpendicular to line YA and pass through point Y.
C. Y'A' will pass through points Y and A.
D. Y'A' will move four units to the left.

Answer 1

When triangle XYZ is dilated by a scale factor of four about the center of the triangle, the corresponding points on line Y'A' will also be dilated by the same scale factor of four. Y'A' will pass through points Y and A.

Step-by-step explanation:

When triangle XYZ is dilated by a scale factor of four about the center of the triangle, the corresponding points on line Y'A' will also be dilated by the same scale factor of four. This means that Y'A' will be four times longer than the original line YA.

So, option C is correct. Y'A' will pass through points Y and A.