State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. In QRS, QR = 16, RS = 64, and mR = 29°. In UVT, VT = 8, TU = 32, and mT = 29°.

Question

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.   In  QRS, QR = 16, RS = 64, and mR = 29°. In UVT, VT = 8, TU = 32, and mT = 29°.

e.mccormick · Answer

Similar means the angles are the same.  One way to show this is to show that the sides are ratios of each other.  So if each side on one is double the same side on the other, they are similar.  However, a key item here is in that you must write out why.  That means you need to look at the postulates and theorems in your book and see which ones match this case.