Question

(7 points) for the given diagram, it is known that e is the midpoint of ad and bc. use this information to prove that triangle aec= triangle deb. each congruence or ewuality and statement must be accompanied by a reason

PLS HELP

Answer 1

Given:

E is the midpoint of AD and BC.

To prove:

`\Delta AEC\cong DEB`

Proof:

Statement Reason

1. E is the midpoint of AD and BC 1. Given

2.
`AE\cong DE` 2. Definition of midpoint

3.
`CE\cong BE` 3. Definition of midpoint

4.
`\angle AEC\cong \angle DEB` 4. Vertically opposite angle

5.
`\triangle AEC\cong \triangle DEB` 5. SAS congruence postulate

Hence proved.