How can a similarity transformation be used to determine that the AA criterion proves the dilated triangle A′B′C′ is similar to triangle ABC ? (1 point) Responses Center the original triangle inside the dilated triangle and see if the side lengths are congruent by using the scale factor. Center the original triangle inside the dilated triangle and see if the side lengths are congruent by using the scale factor. Find the angle measures of the original triangle and the dilated triangle, then compare proportionality of the ratio to the scale factor. Find the angle measures of the original triangle and the dilated triangle, then compare proportionality of the ratio to the scale factor. Reflect the triangle across the x-axis and check for symmetry among the triangles with respect to the x-axis. Reflect the triangle across the x -axis and check for symmetry among the triangles with respect to the x -axis. Translate the dilated triangle so one of its angles exactly matches the corresponding angle in the original triangle; repeat using a different pair of angles. Translate the dilated triangle so one of its angles exactly matches the corresponding angle in the original triangle; repeat using a different pair of angles. Skip to navigation

Answer 1

To determine that the dilated triangle \( A'B'C' \) is similar to triangle \( ABC \) using the AA criterion (Angle-Angle criterion), the correct response is:

Find the angle measures of the original triangle and the dilated triangle, then compare proportionality of the ratio to the scale factor.

The AA criterion states that if two triangles have two corresponding angles that are equal, then the triangles are similar. In the case of dilation, the angles of the original triangle and the dilated triangle remain the same. By confirming that corresponding angles are equal, you can then conclude that the triangles are similar based on the AA criterion. Additionally, the side lengths will be proportional according to the scale factor of the dilation.