Please help me with this proof. I have provided the statements, please help me fill in the reasons.

Question

For this assignment, I need to provide the Converse of the Side-Splitter Theorem. I do not understand how to do this. Please help.

Given:

XR = YS

RQ SQ

Prove:

RS||XY

Statements:

2. XR + RQ = YS+SQ

SQ RQ

3. XQ = YQ

RQ SQ

5.∇XQY ∼ ∇RQS

6.∠1 ≅ ∠2

7.RS||XY

Reasons:

2.

3.

5.

6.

7.

Answer 1

Given triangle ABC with points Eand F on sides AB and AC respectively in such a way that EF is parallel to BC.

Triangle AEF is similar to Triangle ABC because the corresponding angles are equal.(A is common and the other pairs are corresponding parts of parallel lines)

Then you have the sides in proportion because they are corresponding parts of similar triangles.

You should be able to write that up is so-called 2 column form!