Question

Match the reasons with the statements given. Given: A = B M is midpoint of Prove: AMC BMC 1. ∠A = ∠B, M is midpoint of AB Given 2. AM = MB Sides opposite = ∠s are = 3. AC = BC SAS 4. Triangle AMC congruent to Triangle BMC Definition of midpoint

Answer 1

Answer with Step-by-step explanation:

We are given that

M is the mid point of AB

$\angle A=\angle B$

We have to match the reasons with statements given in proof.

Proof:

1.Statement:$\angel A=\angle B$, M is the midpoint of AB

Reason: Given

2.Statement:$AM=MB$

Reason: Definition of midpoint

3.Statement:$AC=BC$

Reason:Opposite sides of equal angle are equal.

4.Statement:$\triangle AMC\cong \triangle BMC$

Reason:SAS Postulate

Answer 2

Answer:

Proof is below.

Step-by-step explanation:

Given: < A = < B , M is the midpoint of AB

Definition of midpoint: AM = MB

Sides opposite = <'s are equal: AC = BC

Triangle AMC congruent to triangle BMC: SAS

Hence, proved.