Question

TRIANGLE XYZ has angles measuring 54 degrees and 29 degrees.

Triangle X'Y'Z' has angles measuring 29 degrees and 92 degrees.

Determine whether 1 figure is a dilation of the other. Justify your answer.

PLEASE EXPLAIN HOW TO DO THIS AND SHOW STEPS IF THERE ARE ANY!

PLZZZ HELP!! EXAM TOMORROW!!

Answer 1

Let's figure out the other angle in each triangle.
A triangles' angles add up to 180°, so
XYZ has angles measuring 29, 54, and 97°.
X'Y'Z' has angles measuring 29, 59, and 92°.

All dilations are similar, meaning that if you shrink one down to the size of the other, they will be the same. Consider two triangles that have been dilated. The sides have changed but the angles are the same.

Triangle XYZ and triangle X'Y'Z' have angle measures that are not the same, therefore they are not similar. All dilations are similar, so X'Y'Z' cannot be a dilation of XYZ.