Question

Can someone help me with this geometry homework! It’s to do with proofs, Statement and Reasoning.

Answer 1

To prove:

`\Delta\text{CAM}\cong\Delta\text{DBM}`

Statement: 1

`\angle ACM\cong\angle\text{BDM}=90^(\circ)`

Reason: Given

Statement:2

`\angle CMA\cong\angle DMB`

Reason:

Angle 1 and angle 2 are congruent angles.

And also,

`\begin{gathered} \angle CMA\cong\angle1(\text{Alternate angles)} \\ \angle DMB\cong\angle2(\text{Alternate angles)} \end{gathered}`

Statement: 3

`AM=MB`

Reason: M is the midpoint of AB.

Statement: 4

`\Delta\text{CAM}\cong\Delta\text{DBM}`

Reason: By AAS congruence.

Hence proved.