Trapezoids and kites

Grade 10 Math Worksheet - Challenge Me

NameDate

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

  1. Ren's garden bed is trapezoid CDFG. Bases CD = (2x + 10) in. and GF = (4x − 4) in.; midsegment HU = 18 in. How long is CD, in inches?

  2. Tala's shelf side is trapezoid CDFG. Bases CD = (3x + 8) in. and GF = (x + 2) in.; midsegment HU = 23 in. How long is CD, in inches?

    Use the picture in question 1.

  3. Zee's tent wall is trapezoid CDFG. Bases CD = (2x + 20) in. and GF = (2x + 6) in.; midsegment HU = 27 in. How long is CD, in inches?

    Use the picture in question 1.

  4. Ari's lunchbox lid sketch is trapezoid CDFG. Bases CD = (5x − 3) in. and GF = (x + 9) in.; midsegment HU = 27 in. How long is CD, in inches?

    Use the picture in question 1.

  5. Bo's lamp shade sketch is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (3x − 9)° and m∠D = (2x + 16)°. What is m∠F, in degrees?

  6. Esme's bucket drawing is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (4x + 2)° and m∠D = (3x + 20)°. What is m∠F, in degrees?

    Use the picture in question 5.

  7. Jun's flower pot sketch is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (5x + 9)° and m∠D = (4x + 20)°. What is m∠F, in degrees?

    Use the picture in question 5.

  8. Kira's ramp drawing is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (6x − 2)° and m∠D = (5x + 10)°. What is m∠F, in degrees?

    Use the picture in question 5.

  9. Milo's paper kite is kite QSVW, with diagonals crossing at O. m∠OQS = (2x + 10)° and m∠OSQ = (3x + 10)°. What is m∠SQW, in degrees?

  10. Pia's kite is kite QSVW, with diagonals crossing at O. m∠OQS = (3x + 11)° and m∠OSQ = (5x + 15)°. What is m∠SQW, in degrees?

    Use the picture in question 9.

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Trapezoids and kites

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

  1. Ren's garden bed is trapezoid CDFG. Bases CD = (2x + 10) in. and GF = (4x − 4) in.; midsegment HU = 18 in. How long is CD, in inches?

    20
  2. Tala's shelf side is trapezoid CDFG. Bases CD = (3x + 8) in. and GF = (x + 2) in.; midsegment HU = 23 in. How long is CD, in inches?

    Use the picture in question 1.

    35
  3. Zee's tent wall is trapezoid CDFG. Bases CD = (2x + 20) in. and GF = (2x + 6) in.; midsegment HU = 27 in. How long is CD, in inches?

    Use the picture in question 1.

    34
  4. Ari's lunchbox lid sketch is trapezoid CDFG. Bases CD = (5x − 3) in. and GF = (x + 9) in.; midsegment HU = 27 in. How long is CD, in inches?

    Use the picture in question 1.

    37
  5. Bo's lamp shade sketch is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (3x − 9)° and m∠D = (2x + 16)°. What is m∠F, in degrees?

    114
  6. Esme's bucket drawing is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (4x + 2)° and m∠D = (3x + 20)°. What is m∠F, in degrees?

    Use the picture in question 5.

    106
  7. Jun's flower pot sketch is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (5x + 9)° and m∠D = (4x + 20)°. What is m∠F, in degrees?

    Use the picture in question 5.

    116
  8. Kira's ramp drawing is isosceles trapezoid CDFG with bases CD ∥ GF. m∠C = (6x − 2)° and m∠D = (5x + 10)°. What is m∠F, in degrees?

    Use the picture in question 5.

    110
  9. Milo's paper kite is kite QSVW, with diagonals crossing at O. m∠OQS = (2x + 10)° and m∠OSQ = (3x + 10)°. What is m∠SQW, in degrees?

    76
  10. Pia's kite is kite QSVW, with diagonals crossing at O. m∠OQS = (3x + 11)° and m∠OSQ = (5x + 15)°. What is m∠SQW, in degrees?

    Use the picture in question 9.

    70