SOLUTION: <img src="http://knitonequilttoo.typepad.com/.a/6a00d83452c3e669e20120a93f6ebe970b-500wi" /> (The middle of the quilt looks like the image that I'm working with) 13. <font colo

Question 543003:
(The middle of the quilt looks like the image that I'm working with)
13. Quilting Many quilts feature squares that are made up of triangles. Explain why placing four congruent isosceles right triangles as shown above always result in a square.

I know that it must have something to do with the diagonals of a square and how they create perpendicular lines, but I'd really appreciate it if someone could help explain this to me a little farther.
Thanks in advance.
(I apologize if this is in the wrong section)
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
yes, the diagonals of a rhombus are perpendicular; but not all rhombuses are squares

the four congruent isosceles right triangles all have the same hypotenuse, so the quadrilateral formed is a rhombus

the base angles of four congruent isosceles right triangles are all 45�, so when two are adjacent (to form a corner)
___ the corner is a right angle - making the rhombus a square
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