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Question

Write a two-column proof for the following information. Upload your proof below.

Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2

Prove: x = 2

Answer 1

Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2

Prove: x = 2

Line CM = 5x – 2 Given

Line MD = 3x + 2 Given

Two straight lines can only

intersect at one point If two distinct lines intersect, they intersect in exactly one point.

Set 5x - 2 = 3x + 2 Calculate the point of intersection

2x = 4

x = 2 Solution of the point of intersection