SOLUTION: Given: ABCD is a rectangle Prove: You can draw a circle with each vertex touching it

Algebra ->  Geometry-proofs -> SOLUTION: Given: ABCD is a rectangle Prove: You can draw a circle with each vertex touching it      Log On


   



Question 1007778: Given: ABCD is a rectangle
Prove: You can draw a circle with each vertex touching it

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonals of a rectangle are congruent.
The diagonals of a rectangle bisect each other.
The point at which they intersect is therefore equidistant from each vertex.
A circle can then be drawn with this intersection point as its center and radius half the length of any diagonal.