In triangles MNO and PQR, angles M and P each have measure 60 ∘ , MN=15, and PQ=45. Which additional piece of information is sufficient to prove that triangle MNO is similar to triangle PQR?AMO=9 and PR=27BMO=9 and PR=36CThe measure of angles N and Q are 120 ∘ and 120 ∘ , respectively.

If two polygons ABCDEF and MNLPQR are similar, and the following angle measures are given, state the corresponding angles and their measures.Angle D = 109o , Angle Q = 28o1) Enter the letter only of the angle that corresponds to angle N: Answer2) Enter the degree measure of the angle that corresponds to angle D. (Do not put the degree symbol in the blank.):

Right triangles LMN and PQR are similar, where Land M correspond to P and Q, respectively. Angle Mhas a measure of 53°. What is the measure ofangle Q ?

Explain why two triangles with two pairs of equal angles must be similar.

Match the definition with the correct word.Two pairs of proportional sides and a pair of equal included angles determine similar triangles.Answer 1 Question 18If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.Answer 2 Question 18If all three pairs of sides of corresponding triangles are in proportion, the triangles are similarAnswer 3 Question 18

David drew ΔΔPQR and ΔΔSTU so that P S, PR = 12, SU = 3, PQ = 20, and ST = 5. AreΔΔPQR and ΔΔSTU similar? If so, identify the similarity postulate or theorem that applies.