Saved Bookmarks
| 1. |
Prove that diagonals of rectangle bisect each other and equal |
|
Answer» Step-by-step explanation: rectangle ABCD, diagonals bisect the ANGLES. Consider ΔAOD and ΔBOC AD = BC (ABCD is a rectangle) ∠AOD = ∠BOC (Vertically opposite angles) ∠OAD = ∠OCB = 45° (Diagonals bisect the angles) ΔAOD ≅ ΔBOC (AAS CONGRUENCE criterion) Therefore, OA = OC and OB = OD Thus the diagonals bisect each other in a rectangle. |
|