Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Chapter Review
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Exercise 32 Page 423

For a rectangle the diagonals are congruent.

4, see solution.

Practice makes perfect

We want to find the value of x for which the given figure is a rectangle.

There is a theorem that tells us that the diagonals of a parallelogram are congruent. There is another theorem that tells us that the diagonals of a parallelogram bisect each other. Therefore, the halves of the diagonals must be congruent. This means that their lengths must be equal. 2x-1 = x+3 Let's solve this equation to find x.
2x-1=x+3
x-1=3
x=4