△PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined about whether △PQR and △RST are similar? All interior angles must be given to determine similarity. The triangles are not similar. Similarity cannot be determined from the given information. The triangles are similar.
Accepted Solution
A:
In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.
The answer is in bold type below.
All
interior angles must be given to determine similarity. The triangles
are not similar. Similarity cannot be determined from the given
information. The triangles are similar.