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Prove Theorem 6-6.
Given: m AB = m
CD
B
С
А
***
D
Prove: m AB = MCD

Answer 1

m AB = m CD. The congruence of line segments AB and CD, established through their equal measures, forms the basis of the proof.

Explanation:

In geometry, Theorem 6-6 involves proving that the measure of line segment AB is equal to the measure of line segment CD. This proof can be established by utilizing geometric principles and properties. Given the information that m AB = m CD, it's critical to recognize that this equality implies congruence between the line segments AB and CD.

Through various geometric principles, such as the angle-angle criterion or side-angle-side criterion, it can be deduced that if two line segments have equal measures, they are congruent. Therefore, m AB is equal to m CD, proving Theorem 6-6 in this context.

Understanding geometric concepts of equality, congruence, and the principles governing the measures of line segments assists in validating this theorem. The congruence of line segments AB and CD, established through their equal measures, forms the basis of the proof.