a) Jayne had the following question to answer in an exam. A, B and C are points on a circle. CD is a tangent. Assume triangle ABC is isosceles with AC = BC Prove that AB is parallel to DC. The final line of her proof was as follows: AB is parallel to DC because angles... and... are B C D equal alternate angles. (4) Write all three lines of her proof, including her final line, with the blanks filled in.
b) In fact, triangle ABC is equilateral. Which two statements must be correct? (1)
A-AB is parallel to DC
B- AC bisects angle BCD
C -AC bisects angle BAD
Total marks: 5