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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 35 Page 528

If diagonals are congruent then a quadrilateral is the isosceles trapezoid.

15

Practice makes perfect

We want to find x such that ABCD is isosceles trapezoid.

We are given that AC= 3x-7 and BD= 2x+8 and already know that ABCD is the trapezoid. The trapezoid to be isosceles must have congruent diagonals. Therefore AC must have the same length as BD. 3x-7= 2x+8 Let's solve this equation to find x.

3x-7=2x+8

LHS-2x=RHS-2x

x-7=8

LHS+7=RHS+7

x=15

For x=15 the diagonals are congruent, so ABCD is isosceles trapezoid.

Subchapter links

Exercises p.526-530