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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 45 Page 528

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

10

Practice makes perfect

We want to find the length of the AE in the given isosceles trapezoid.

We are given that DB= 19 and EC= 9. Recall that if a quadrilateral is an isosceles trapezoid, then its diagonals are congruent. Therefore, by the definition of congruent sides, the measures of AC and DB are equal. AC= DB ⇕ AE+ EC= DB Let's solve this equation to find AE.

AE+EC=DB

SubstituteValues

Substitute values

AE+9=19

LHS-9=RHS-9

AE=10

In the given isosceles trapezoid, AE=10.

Subchapter links

Exercises p.526-530