SOLUTION: I need to make a 2 column proof for geometry to prove that, the diagonals of a rectangle are congruent. My only given statement, is that 'abcd' is a rectangle. What steps do I need

Algebra ->  Geometry-proofs -> SOLUTION: I need to make a 2 column proof for geometry to prove that, the diagonals of a rectangle are congruent. My only given statement, is that 'abcd' is a rectangle. What steps do I need      Log On


   



Question 248317: I need to make a 2 column proof for geometry to prove that, the diagonals of a rectangle are congruent. My only given statement, is that 'abcd' is a rectangle. What steps do I need for the proof to prove it true? Thanks so much.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
http://www.sparknotes.com/math/geometry3/geometricproofs/section1.html
What do you know about rectangles?
Rectangles have four sides.
Opposite sides are equal
All angles are right angles
The diagonal makes a right triangle with the sides.
The right triangles are congruent then the diagonals must be congruent.
A triangle with sides L and W and a right angle between them has to be congruent with another right triangle with the same legs.