Problem: Chord is the perpendicular bisector of chord , intersecting it in . Between and point is taken, and extended meets the circle in . Then, for any selection of , as described, triangle is similar to triangle:
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Triangle is a right triangle (since is a diameter) with angle as one of its acute angles. Triangle is a right triangle with angle as one of its acute angles. Therefore, triangle ~ triangle .