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?(1 point) Responses 34 degrees and 80 degrees 34 degrees and 80 degrees 68 degrees and 160 degrees 68 degrees and 160 degrees 44 degrees and 70 degrees 44 degrees and 70 degrees 17 degrees and 40 degrees

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

When a triangle is dilated, the angles of the triangle do not change. Dilation affects the size of the triangle but does not alter the measures of its angles.

Since the original triangle has angle measures of 34 degrees and 80 degrees, the other angle can be calculated as follows:

  1. The sum of the angles in a triangle is always 180 degrees.
  2. The third angle = 180 degrees - (34 degrees + 80 degrees) = 180 degrees - 114 degrees = 66 degrees.

Thus, the angles in the original triangle are 34 degrees, 80 degrees, and 66 degrees.

The corresponding angles in the dilated triangle will remain the same:

  • 34 degrees
  • 80 degrees
  • 66 degrees

Therefore, the answer is 34 degrees and 80 degrees (with the third angle being 66 degrees). Among the provided options, the closest response would be 34 degrees and 80 degrees.