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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 16 Page 527

Use the Trapezoid Midsegment Theorem.

17

Practice makes perfect

We will find the length of the midsegment VS.

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) We are given that UT= 22 and QR= 12. Let's find the length of VS, by solving the equation.

VS=1/2 (UT+QR)

▼

Solve for VS

UT= 22, QR= 12

VS=1/2( 22+ 12)

Add terms

VS=1/2(34)

MoveRightFacToNum

a/c* b = a* b/c

VS=1* 34/2

Identity Property of Multiplication

VS=34/2

Calculate quotient

VS=17

We found that midsegment VS=17.

Subchapter links

Exercises p.526-530