Statements | Reasons |
1) ABCD is a rectangle. | 1) Given |
2)∴ ABCD is a Parallelogram. | 2) Every rectangle is a Parallelogram. |
3) AD || BC | 3) By Properties of parallelogram. |
4) ∠A + ∠B = 180^{0} | 4) Interior angles on the same side of transversal are supplementary. |
5) 90 + ∠B = 180 | 5) ∠A = 90 (Given) |
6) ∠B = 90^{0} | 6) By subtraction property. |
7) ∠D= 90 and ∠C= 90 | 7) By properties of parallelogram. |
Statements | Reasons |
1) ABCD is a rectangle. | 1) Given |
2) AD = BC | 2) Property of rectangle (opposite sides are equal) |
3) AB = AB | 3) Reflexive (common side) |
4) ∠A = ∠B | 4) Each right angle.(property of rectangle) |
5) Δ DAB ≅ Δ CBA | 5) SAS Postulate |
6) AC = BD | 6) CPCTC |