Question

11) Write a two-column proof. Given: m

Answer 1

Given m as the midpoint of CD and MD = 3, the transitive property of congruence establishes
`\(CM \cong MD\)`, proving CM = 3.

To prove that CM = 3 given m is the midpoint of CD and MD = 3, we utilize the transitive property of congruence.

Since m is the midpoint, it implies
`\(CM \cong MD\)`, and by the transitive property,
`\(CM \cong MD\)` and
`\(MD \cong CM\)`, thus CM = MD = 3.

The transitive property allows us to establish the congruence between CM and MD, providing a clear and concise proof for the given statement.

Question:

Write a two-column proof for the following information.

Given: m is the midpoint of cd and md = 3, prove that cm =3