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

Answer 1

To determine that the dilated triangle \(A'B'C'\) is similar to triangle \(ABC\) using the AA criterion, you would specifically want to 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.

This is because the AA (Angle-Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, the two triangles are similar. By matching angles through translation, you can confirm that the angle measures are the same, thus establishing similarity between the two triangles.

Other options presented, such as checking for congruence of side lengths or reflection for symmetry, do not directly establish similarity through the AA criterion.