How can a similarity transformation be used to determine that the AA criterion proves the dilated triangle A′B′C′

Question

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.

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.

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To use a similarity transformation to determine that the dilated triangle \( A'B'C' \) is similar to triangle \( ABC \) based on the AA (Angle-Angle) criterion, the appropriate response is:

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 response accurately represents the process you could use to demonstrate similarity by matching angles between the two triangles, confirming that the angles are congruent and thus fulfilling the AA similarity criterion.