SOLUTION: A dilation is applied to a triangle such that the sides of the image are 1.5 times the length of their corresponding sides in the original triangle. Then the angles of the image mu

Algebra ->  Triangles -> SOLUTION: A dilation is applied to a triangle such that the sides of the image are 1.5 times the length of their corresponding sides in the original triangle. Then the angles of the image mu      Log On


   

Question 1038848: A dilation is applied to a triangle such that the sides of the image are 1.5 times the length of their corresponding sides in the original triangle. Then the angles of the image must be 1.5 times the size of the corresponding angles in the original triangle.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The angles will have the same measure.
After dilation, the shape is the same, and the angles are congruent.
The length of the sides increases by a factor of 1.5.
If the angle measures were 1.5 times larger, the sum of the angles of the dilated triangle would be
1.5%28180%5Eo%29=270%5Eo ,
but you know that the sum of the measures of the angles of a triangle is 180%5Eo ,
for any triangle, no matter how large the triangle is.