Question

Match the reasons with the statements given.

Given:
21= 22
25 = 26
Prove:
MQ= MP
Reflexive
1. 23, 25 are supplementary and 24, 26 are supplementary
2. 25 = 26 and 21 = 22
3. 23 = 24
Given
Supplements to = angles.
СРСТЕ
4. MN = MN
5. Triangle MNQ congruent to Triangle MNP
ASA
6. MQ = MP
Exterior sides in opposite rays.

Answer 1

We start at what it gives us, so 2 matches "Given".

So, 3 matches "Supplements to - angles".

From what we see that 1 matches "Exterior sides in oppposite rays".

We can see that 4 matches "Reflexive".

From this we got that 5 matches "ASA", because the triangles are congruent by angle-side-angle.

Because they are congruent, we match 6 with "CPCTE" (Corresponding Parts of Congruent Triangles are Equal).