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

A. 17 degrees and 40 degrees
B. 68 degrees and 160 degrees
C. 44 degrees and 70 degrees
D. 34 degrees and 80 degrees

1 answer

The AA (Angle-Angle) criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Since the dilation does not change the angle measures of the triangles, the angles in the dilated triangle will still be the same as the original triangle. Therefore, the two corresponding angles of the dilated triangle will be:

  • 34 degrees
  • 80 degrees

Thus, the correct answer is:

D. 34 degrees and 80 degrees.