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. 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?

  4. 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 3.

  5. 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 3.

  6. 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 3.

  7. Luz's kite is kite QSVW, with diagonals crossing at O. m∠OQS = (x + 16)° and m∠OSQ = (2x + 2)°. What is m∠SQW, in degrees?

  8. 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?

    Use the picture in question 7.

  9. Noah's kite is kite QSVW, with diagonals crossing at O. m∠OQS = (4x − 3)° and m∠OSQ = (3x + 16)°. What is m∠SQW, in degrees?

    Use the picture in question 7.

  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 7.

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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. 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
  4. 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 3.

    106
  5. 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 3.

    116
  6. 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 3.

    110
  7. Luz's kite is kite QSVW, with diagonals crossing at O. m∠OQS = (x + 16)° and m∠OSQ = (2x + 2)°. What is m∠SQW, in degrees?

    80
  8. 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?

    Use the picture in question 7.

    76
  9. Noah's kite is kite QSVW, with diagonals crossing at O. m∠OQS = (4x − 3)° and m∠OSQ = (3x + 16)°. What is m∠SQW, in degrees?

    Use the picture in question 7.

    82
  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 7.

    70