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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 41 Page 528

Use the Trapezoid Midsegment Theorem.

2

Practice makes perfect

We want to find the value of x.

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. PM= 1/2 ( TS+ QR) Let's substitute the given lengths of the segments into the equation. 12=1/2 ( 4x+ 16) By performing inverse operations, we can solve this equation for x.

12=1/2(4x+16)

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Solve for x

MoveRightFacToNum

a/c* b = a* b/c

12=1* (4x+16)/2

1* a=a

12=4x+16/2

Write as a sum of fractions

12=4x/2+16/2

Calculate quotient

12=2x+8

LHS-8=RHS-8

4=2x

.LHS /2.=.RHS /2.

2=x

Rearrange equation

x=2

We found value of x=2.

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Exercises p.526-530