Problems Involving Parallelograms, Trapezoids and Kites

Problems Involving Parallelograms, Trapezoids and Kites

Multiple Choice

Mario’s pool is in the shape of a quadrilateral. It has two congruent sides and the other two sides are parallel with each other. There are no right angles. Choose the most precise name for the shape of Mario’s pool.

• trapezoid

• isosceles triangle

• isosceles trapezoid

• kite

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Find angle D. (No degree symbol in the answer please)

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Given square ABCD with a perimeter of 48 units.

Find the number of units of BD. (Write the square symbol as sqrt and with NO spaces. Example: 2sqrt3)

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Given: parallelogram ABCD, sides as marked.

Find AD.

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Find x.

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The figure is an isosceles trapezoid. Determine the value of the variable.

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Determine the value of x for which EFGH is a kite.

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Figure JKLM is a trapezoid. JM is parallel to KL . Find the measure of the median of the trapezoid.

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This figure is an isosceles trapezoid. Find the value of n.

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Figure RSTU is a kite. The diagonals intersect at V. Find m∠SVR. (Answer with no degree sign please)

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Given WXYZ is a kite, m∠YWX = 2x + 30, and m∠WYX = 4x. Find m∠YWX.

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In a trapezoid, the length of longer base is 20. The length of the median is 14. What is the measure of the shorter base?

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Given ABCD is a trapezoid and JK is the median, find the value of x.

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HATS is a kite with diagonals that intersect at C. m∠TSC = 32. Find m∠SHC.

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Given: isosceles trapezoid BEAR as marked.Find AQ.