Grade 10 · Math · Geometry

10th grade Trapezoids and kites worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Trapezoids and kites

Grade 10 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

Ren's garden bed is trapezoid CDFG with bases CD = 22 in. and GF = 14 in. HU joins the middles of the legs. How long is HU, in inches?
Zee's lunchbox lid sketch is trapezoid CDFG with bases CD = 9.5 in. and GF = 6.5 in. HU joins the middles of the legs. How long is HU, in inches?
Ari's tent wall is trapezoid CDFG with bases CD = 40 in. and GF = 26 in. HU joins the middles of the legs. How long is HU, in inches?
Bo's ramp drawing is trapezoid CDFG with CD ∥ GF. It is not isosceles. m∠C = 64° and m∠F = 105°. What is m∠D, in degrees?
Esme's lamp shade sketch is trapezoid CDFG with CD ∥ GF. It is not isosceles. m∠C = 72° and m∠F = 98°. What is m∠D, in degrees?
Jun's bucket drawing is trapezoid CDFG with CD ∥ GF. It is not isosceles. m∠C = 58° and m∠F = 117°. What is m∠D, in degrees?
Kira's flower pot sketch is trapezoid CDFG with CD ∥ GF. It is not isosceles. m∠C = 81° and m∠F = 93°. What is m∠D, in degrees?
Luz's kite is kite QSVW. m∠Q = 70° and m∠V = 50°, and the angles at S and W are equal. What is m∠S, in degrees?
Milo's kite is kite QSVW. m∠Q = 84° and m∠V = 40°, and the angles at S and W are equal. What is m∠S, in degrees?
Noah's paper kite is kite QSVW. m∠Q = 60° and m∠V = 44°, and the angles at S and W are equal. What is m∠S, in degrees?

10th grade Trapezoids and kites worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Trapezoids and kites. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find a trapezoid's midsegment from its bases, or a base from the midsegment.
I can use the angles on one leg (they add to 180°), and the equal base angles only when the trapezoid is isosceles.
I can use a kite's facts: one pair of equal angles, diagonals at right angles, and a line of symmetry that cuts the other diagonal and the top and bottom angles in half.

Standard: G-CO.C.11 (related; the CCSS names parallelograms only)

Words to know

trapezoid: A four-sided shape with one pair of parallel sides, called the bases.

legs: The two sides of a trapezoid that are not the bases.

isosceles trapezoid: A trapezoid whose legs are equal; its base angles are equal.

midsegment: The segment joining the middles of the two legs; halfway between the bases.

kite: Two pairs of equal sides that meet, like a flying kite.

line of symmetry: The fold line that makes both halves match.

Common mistakes

Your child added the two amounts but did not halve. A trapezoid's midsegment is halfway between the bases: add them and halve. A kite's two equal angles share what is left of 360°.

Your child halved the difference of the bases instead of their sum. The midsegment is the average of the two bases, so it lies between them in length.

Your child treated a trapezoid as isosceles and made its base angles equal. That is true only when the legs are equal. Here the two angles on one leg add to 180°.

Questions parents ask

What is the most common mistake with trapezoids and kites?

Your child added the two amounts but did not halve. A trapezoid's midsegment is halfway between the bases: add them and halve. A kite's two equal angles share what is left of 360°.

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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