Question

for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.

Answer 1

9514 1404 393

Answer:

  yes, SAS

Step-by-step explanation:

Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).

The ratios of short to long sides are ...

  39/52 = (3·13)/(4·13) = 3/4

  63/84 = (3·21)/(4·21) = 3/4

The sides are proportional and the angle between them is congruent, so ...

  the triangles are similar by SAS.