Question

the vertices of the triangles are located as follows: upper a at left parenthesis negative 4 comma negative 6 right parenthesis, upper b at left parenthesis 3 comma negative 6 right parenthesis, upper c at left parenthesis negative 2 comma negative 3 right parenthesis, upper a prime at left parenthesis negative 1 comma negative 3 right parenthesis, upper b prime at left parenthesis 10 comma negative 3 right parenthesis, upper c prime at left parenthesis 0 comma 7 right parenthesis. how can a similarity transformation be used to determine that the aa criterion proves the dilated triangle abc is similar to triangle abc? (1 point) center the original triangle inside the dilated triangle and see if the side lengths are congruent by using the scale factor. 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. 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.

Explanation:

To determine similarity via AA (Angle - Angle) criterion, we need two pairs of congruent angles. Translating the dilated triangle to align an angle with the original triangle's corresponding angle (and repeating for another angle) helps check for two congruent angle pairs, which is key for AA similarity. Centering doesn't relate to angle congruence. Finding angle measures and comparing proportionality is about side - angle relationships for similarity but not the direct AA check. Reflecting over the x - axis is a transformation not related to AA similarity check. So the correct method is translating the dilated triangle to match angles.

Answer:

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.