Match the reasons with the statements given. Given:

A = B

M is midpoint of

Prove:

AMCBMC

1. ∠A = ∠B, M is midpoint of AB
Given
2. AM = MB
SAS
3. AC = BC
Definition of midpoint
4. Triangle AMC congruent to Triangle BMC
Sides opposite = ∠s are =

3women sell hats at a craft fair weekly. the money they make at the fair is split into categories. 9% goes to pay taxes. $55 goes to pay rent for the space they sell in. the rest is split between the women. if the group make $706 at the fair, how much does each women get paid once the money is divided