# Thread: Geometry.. Prove that TM = TK

1. ## Geometry.. Prove that TM = TK

AM bisects angle CAT. AT is tangent to the circle at T. Prove that TM = TK

http://i420.photobucket.com/albums/p...tcheese/Q4.jpg

Thanks...

2. Alternate segment theorem again. Let D be a point on AT, on the opposite side of T from A. Then the angles DTC, CBT are both equal to y, say. If x denotes the bisected angles in the figure, then the angles TMK, BKA are both equal to y–x. Deduce that the triangle TMK is isosceles.