Question

What are the correct statements and reasons to complete the proof ?

Answer 1

ANSWER and EXPLANATION

We have the Two Column proof given and we need to complete it.

2. The statement for the reason is:

`\bar{VZ}\text{ = }\bar{\text{WX}}`

4. The statement is

`\bar{WV}\text{ = }\bar{\text{VW}}`

The reason is that the statement is symmetric, since WV is the same as VW just with rearranged letters, so:

Reason: Symmetric Property

5. We have the statement:

`\Delta WVZ\text{ = }\Delta VWX`

Since the proof has shown that two sides of the triangle are congruent and that the two triangles have one set of congruent angles, the reason for the statement is:

Reason: Side-Angle-Side Postulate