Posted by **alisa** on Tuesday, November 15, 2011 at 6:23pm.

A carpenter must ensure that a large window frame is a rectangle. If the corners are labled E,F,G, and H, the carpenter knows that EF=51 inches, FG=28 inches, GH=51 inches, and EH=28 inches. The carpenter could measure the diagonals EG and FH and verify that they are the same length, nut choose another approach. After verifying that angle E is a right angle the carpenter insists that EFGH must be a true rectangle. Finish the reasoning outlined below to justify the carpenter's logic.

1)EFGH is a parallelogram since__________________________.

2)consecutive angles are supplementary by Therom______, so angles F,G, and H are also right angles.

3)Therfore, by the ______________ Corollary, EFGH is a _________________.

## Answer This Question

## Related Questions

- Algebra 2 - Can you double check my answer The lengths of the sides of a ...
- Geometry - 1.What is the perimeter of a rectangle with width 10 inches in length...
- Algebra - A wooden plank is 5 feet long and 1 1/2 inches thick. To make the ...
- Math - 1) Rectangle ABCD has a perimeter of 106 inches. If the width is 7 inches...
- Math - You are using glass tiles to make a picture frame for a square photograph...
- MATH - Li-Hua wants to create a triangular fame. She has two pieces of wood, ...
- arithmetic - this is difficult for me... #5 A carpenter needs 4 boards, each 2 ...
- Math - Sally painted a picture that has an area of 480 square inches. The length...
- math - a carpenter has a piece of lumber measuring 9 feet 6 and 3/4 inches long ...
- Math - You are building a frame for a photograph that is 8 inches by 11 inches. ...

More Related Questions