Question

We have that AB || DC. By a similar argument used to prove that AEB ≅ CED,we can show that ≅ CEB by . So, ∠CAD ≅ ∠ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Answer 1

Answer:1. AED

2. SAS

3. ACB

4. ALTERNATE INTERIOR ANGLES

Explanation:

Right on edge 2023

Answer 2

We have that AB || DC.

By a similar argument used to prove that AEB ≅ CED,we can show that (AED) ≅ CEB by (SAS) . So, ∠CAD ≅ ∠ (ACB) by CPCTC. Therefore, AD || BC by the converse of the (
ALTERNATE INTERIOR ANGLES) theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram

1. AED
2. SAS
3. ACB
4. ALTERNATE INTERIOR ANGLES