Question

Triangle abc is dilated using center p and a scale factor of 3/2. What do the properties of dilations tell you about angle b' in relation to angle b?

Answer 1

After the dilation of triangle ABC with a 3/2 scale factor, angle B' is congruent to angle B, meaning they have the same angle measure.

Step-by-step explanation:

When a triangle is dilated using a scale factor, all lengths are multiplied by that scale factor, but all angles remain the same. In triangle ABC, after dilation with center P and a scale factor of 3/2, angle B remains unchanged in its size or measure but is now called angle B'. This is because dilations are transformations that produce an image with the same shape as the original, but a different size. Therefore, angle B' is congruent to angle B, meaning they have the same angle measure.