Question

oshua wrote the following proof to show that the diagonals of rectangle ABCD are congruent:

Joshua's proof:
Statement 1: In right triangle ADC, the sum of the squares of sides AD and DC is equal to the square of hypotenuse AC so that AD2 + DC2 = AC2 and in right triangle ABD, the sum of the square of sides AD and AB is equal to the square of hypotenuse DB so that AD2 + AB2 = DB2 (by Pythagorean Theorem)
Statement 2: AB = DC (by transitive property of equality)
Statement 3: AC2 = DB2 (from statements 1 and 2)
Statement 4: AC = DB (taking square root on both sides of AC2 = DB2)

Answer 1

Which statement has an error?

Answer 2

i would say statement 1 is the one with an error.

Answer 3

ugh thank you.

Answer 4

sure