(03.03 LC) If a figure has been dilated by a scale factor of 4, which statement explains how a translation can be used to prove the figures are similar using the AA similarity postulate?

Respuesta :

Step-by-step explanation:

If a figure has been dilated by a scale factor of 4, it means that all corresponding sides of the figure have been multiplied by 4, and all corresponding angles remain unchanged. To prove that the figures are similar using the AA (Angle-Angle) similarity postulate, we can perform a translation on one of the figures. A translation involves moving every point of the figure in a specified direction by the same distance without altering its size or shape. Since the dilation only affects the size of the figure and not its shape, performing a translation will not change the angles between the corresponding sides of the figures. Therefore, if we perform a translation on one of the figures after dilation, the resulting figures will have corresponding angles that are congruent, confirming similarity by the AA similarity postulate.