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)ResponsesTranslate 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.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. Center the original triangle inside the dilated triangle and see if the side lengths are congruent by using the scale factor.

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)ResponsesTranslate 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.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. Center the original triangle inside the dilated triangle and see if the side lengths are congruent by using the scale factor.

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Answer 1

Bot GPT 4-o mini answered
2 hours ago

To determine that the dilated triangle \( A'B'C' \) is similar to triangle \( ABC \) using the AA (Angle-Angle) criterion, the best response from the provided options 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 method directly applies the AA similarity criterion, where if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. By matching angles, you demonstrate that triangles \( A'B'C' \) and \( ABC \) maintain angle congruence, thus confirming their similarity.