Proof for Theorem
Prove: If a parallelogram is a rectangle, it has congruent diagonals.
Prove: If a parallelogram is a rectangle, it has congruent diagonals.
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Statements |
Reasons |
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1. |
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1. |
Given |
2. |
∠DAB, ∠CBA right angles |
2. |
A rectangle has 4 right angles. |
3. |
∠DAB  ∠CBA |
3. |
All right ∠s are congruent. |
4. |
parallelogram ABCD |
4. |
A rectangle is a parallelogram. |
5. |
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5. |
Opposite sides of a parallelogram are congruent. |
6. |
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6. |
Reflexive property |
7. |
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7. |
SAS-if 2 sides and the included ∠ of one triangle are to the corres. parts of the other, the triangles are . |
8. |
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8. |
CPCTC- corres. parts of triangles are . |
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