Mathematics

Jeffrey Montes

30 November, 09:01

The figure below shows a rectangle ABCD having diagonals AC and DB: A rectangle ABCD is shown with diagonals AC and BD. Anastasia wrote the following proof to show that the diagonals of rectangle ABCD are congruent: Anastasia's proof: Statement 1: Statement 2: AB = DC (opposite sides of a rectangle are congruent) Statement 3: AC2 = DB2 (from statements 1 and 2) Statement 4: AC = DB (taking square root on both sides of AC2 = DB2) Which statement below completes Anastasia's proof? In triangle ADC and BCD, AB = DC (opposite sides of a rectangle are congruent) In triangle ADC and BCD, AB = DC (opposite sides of a rectangle are parallel) In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent) In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are parallel)