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2 years ago

Please assist me with the trapezoid problems

Mathematics

1 answer:

White raven [17]2 years ago

5 0

Problem 4

MR = AG is a true statement because MARG is an isosceles trapezoid. The diagonals of any isosceles trapezoid are always the same length.

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MA = GR is false. Parallel sides in a trapezoid are never congruent (otherwise you'll have a parallelogram).

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MR and AG do NOT bisect each other. The diagonals bisect each other only if you had a parallelogram.

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Problem 5

LC = AJ (nonparallel sides of isosceles trapezoid are always the same length)

x^2 = 25

x = sqrt(25)

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LU = 25

UC = 25 because point U cuts LC in half

LC = LU+UC = 25+25 = 50

AJ = LC = 50 (nonparallel sides of isosceles trapezoid are always the same length)

AS = (1/2)*AJ

AS = (1/2)*50

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angle LCA = 71

angle CAJ = 71 (base angles of isosceles trapezoid are always congruent)

(angleAJL)+(angleCAJ) = 180

(angleAJL)+(71) = 180

angle AJL = 180-71

<h3>angle AJL = 109 </h3>

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