two triangles are sketched on a coordinate plane using a dilation of 2, sharing the same center ordered pair at the origin. one trianlge has angle measures of 34 degrees and 80 degrees. Using the AA criterion, what would be the two corresponding angles of the dialted traingle?

a. 44 degrees and 70 degrees
b.34 degrees and 80 degrees
c.17 degrees and 40 degrees
d. 68 degrees and 160 degrees

1 answer

The AA (Angle-Angle) criterion states that two triangles are similar if two angles in one triangle are equal to two angles in another triangle. Dilation affects the size of the triangle but not the angle measures.

Since the original triangle has angle measures of 34 degrees and 80 degrees, the corresponding angles in the dilated triangle will remain the same.

Thus, the two corresponding angles of the dilated triangle are 34 degrees and 80 degrees.

The correct answer is: b. 34 degrees and 80 degrees