Question

Please assist me with the trapezoid problems​

Answer 1

Problem 4

a)

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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b)

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

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c)

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

a)

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

x^2 = 25

x = sqrt(25)

x = 5

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b)

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

AS = 25

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c)

angle LCA = 71

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

(angleAJL)+(angleCAJ) = 180

(angleAJL)+(71) = 180

angle AJL = 180-71

angle AJL = 109