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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Ratios and Proportions

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Exercise 54 Page 549

If a quadrilateral is a trapezoid, then the length of the midsegment is half the sum of the lengths of the bases.

3

Practice makes perfect

To find x, we need to use the properties of a trapezoid and its midsegment.

Recall that if a quadrilateral is a trapezoid, then the length of the midsegment is half the sum of the lengths of the bases. ST= 1/2 (CD+AB) We can substitute the given lengths of these segments into this equation. 10=1/2 ( 14+ 2x) Let's solve this equation to find x.

10=1/2 (14+2x)

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Solve for x

LHS * 2=RHS* 2

20=14+2x

LHS-14=RHS-14

6=2x

.LHS /2.=.RHS /2.

3=x

Rearrange equation

x=3

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Exercises p.546-549