Four tangents are drawn from E to two concentric circles. A, B, C, and D are the points of tangency. Can you name as many pairs of congruent triangles as possible and tell how you can show each pair is congruent?

Question

You can use triangle congruence theorems to prove relationships among tangents and secants.

Answer 1

using SAS, and assuming A,B are on the outer circle, and C,D are on the inner circle, and O is the center, then
∆EAO ≅ ∆EBO
∆ECO ≅ ∆EDO

Answer 2

Performance task

Answer 3

Written works