In Exercises 31 to 34, write a formal proof of each theorem or corollary.
The opposite angles of a parallelogram are congruent.
To write:
A formal proof of the corollary, the opposite angles of a parallelogram are congruent.
Given:
A parallelogram with one diagonal.
Corollary:
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.
Description:
Let the parallelogram be ABCD with the diagonal
PROOF | |
Statements | Reasons |
1. Parallelogram ABCD | 1. Given |
2. |
2. By the definition of a parallelogram |
3. |
3. If two âˆ¥ lines are cut by a transversal, the alternate interior angles are congruent. |
4. |
4 |
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