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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 38 Page 528

If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent.

40

Practice makes perfect

We want to find the measure of SQ. First let's draw the given isosceles trapezoid.

We are given that PT= 12 feet, ST= 28 feet. Recall that if a quadrilateral is an isosceles trapezoid, then the diagonals divide each other in the same proportions. Therefore, PT is congruent with TQ. Since that TQ= 12 feet. Now we can calculate the length of SQ. SQ= ST+ TQ Let's solve this equation to find SQ.

SQ=ST+TQ

ST= 28, TQ= 12

SQ=28+12

Add terms

SQ=40

We found that SQ=40.

Subchapter links

Exercises p.526-530