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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 18 Page 527

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

6

Practice makes perfect

We will find the length of the base QR.

Recall the Trapezoid Midsegment Theorem.

Trapezoid Midsegment Theorem
The midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.

Using the theorem, we can write the following equation. VS= 1/2 ( UT+ QR) Let's substitute the given lengths VS= 9 and UT into the equation and solve it.

VS=1/2 (UT+QR)

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Solve for QR

UT= 12, VS= 9

9=1/2( 12+QR)

LHS * 2=RHS* 2

18=12+QR

LHS-12=RHS-12

6=QR

Rearrange equation

QR=6

We found that base QR=6.

Subchapter links

Exercises p.526-530