A¢ (-5,3), B¢(-3,1), C¢(-2,4)
2. Dilate ∆ABC centered at the origin with a scale factor of three. State the coordinates of the vertices A¢B¢C¢.
Answer:
A¢(-15,-9), B¢(-9,-3), C¢(-6,-12) since each is three times as far from zero.
3. Reflect the triangle ABC across the x axis and then dilate by a scale factor of three using the origin as a center point for the dilation. State the coordinates of the vertices A¢B¢C¢.
Answer:
A¢(-15,9), B¢(-9,3), C¢(-6,12)
This is the reflection across the x axis of the dilation done in part A. When a figure reflects across the x axis, the x coordinates remain the same and the y coordinates become the additive inverse of the y coordinates of the figure being reflected.