SOLUTION: Prove that if the diagonals of a rectangle are perpendicular then the rectangle is actually
a square.Thanks!
Algebra.Com
Question 983299: Prove that if the diagonals of a rectangle are perpendicular then the rectangle is actually
a square.Thanks!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The diagonals of a rectangle bisect each other and the diagonals of a rectangle are congruent. Hence, the four triangles created by two perpendicular diagonals are mutually congruent, each congruent hypotenuse forming a side of the rectangle which perforce a square.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Please help me with the following proof. Thank you!
How to prove statement "If a... (answered by KMST)
Prove if the diagonals of a paarallelogram are congruent, then the parallelogram is a... (answered by robertb)
prove that if the diagonals of a parallelogram are perpendicular, then the parallelogram... (answered by robertb)
Prove that if the diagonals of a parallegram are equal it is a... (answered by robertb)
If the diagonals of a parallelogram are perpendicular, then the parallelogram must be a... (answered by TimothyLamb)
If the diagonals of a parallelogram are perpendicular, then the parallelogram must be a... (answered by TimothyLamb)
1.how to prove if the diagonals in a parallelogram are perpendicular, then the... (answered by Edwin McCravy)
How to prove if a parallelogram is a rectangle, then its diagonals are congruent, and in... (answered by ikleyn)
show that a rectangle is a square if the diagonals are... (answered by richard1234)