## Brownyies Can someone help me write a paragraph proof for this? Given: BC = EC and AC = DC Prove: BA = ED The picture of this is attached one year ago one year ago

1. Brownyies

2. livelaughlilz

Do you know the SAS (side angle side) postulate for congruent triangles?

3. Brownyies

Yes

4. livelaughlilz

Do you know about vertical angles?

5. Brownyies

Yes.

6. livelaughlilz

Try using those.

7. Brownyies

What do you mean? I don't understand how to prove it and only know what SAS stands for.

8. livelaughlilz

SAS means side angle side. If two sides and the angle in between them of a triangle are congruent, the triangles are congruent. if the triangles are congruent, then corresponding parts (sides and angles) of congruent triangles are congruent.

9. livelaughlilz

Angle ACB and Angle ECD are vertical angles. They are equal. AC = CD, which is given. BC = EC is also given. That gives you two sides that are equal and the angle in between them that is equal. Therefore, by the SAS postulate, the triangles ACB and ECD are congruent. Becuase they are congruent, corresponding sides are congruent. AB and ED are corresponding sides, therefore they are congruent (equal)

10. Brownyies

Ok so I get what I have to do so thatnk you sooo much and thank you for telling me what SAS means.