Properties of parallelograms

Grade 10 Math Worksheet

NameDate

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

  1. Jun's tile is parallelogram DFGH. DF = (3x + 4) cm, FG = (x + 9) cm and GH = (5x − 10) cm. What is x?

  2. Luz's window pane is parallelogram DFGH. DF = (6x − 7) cm, FG = (2x + 5) cm and GH = (4x + 11) cm. What is x?

    Use the picture in question 1.

  3. Milo's garden bed is parallelogram DFGH. DF = (5x − 6) cm, FG = (x + 12) cm and GH = (2x + 24) cm. What is x?

    Use the picture in question 1.

  4. Pia's table top is parallelogram DFGH. m∠D = (4x − 12)° and m∠F = (2x + 18)°. What is x?

    Use the picture in question 1.

  5. Ren's mural panel is parallelogram DFGH. m∠G = (5x + 3)° and m∠H = (3x + 17)°. What is x?

    Use the picture in question 1.

  6. Tala's patio stone is parallelogram DFGH. m∠H = (3x + 4)° and m∠D = (2x + 21)°. What is x?

    Use the picture in question 1.

  7. Zee's sticker is parallelogram DFGH, with diagonals crossing at Q. DQ = (2x + 3) cm, QG = (4x − 9) cm and FQ = (x + 8) cm. What is x?

    Use the picture in question 1.

  8. Ari's window pane is parallelogram DFGH, with diagonals crossing at Q. DQ = (5x − 4) cm, QG = (3x + 10) cm and FQ = (x + 20) cm. What is x?

    Use the picture in question 1.

  9. Bo's rug is parallelogram DFGH, with diagonals crossing at Q. DQ = (7x − 5) cm, QG = (3x + 19) cm and FQ = (2x + 15) cm. What is x?

    Use the picture in question 1.

  10. Esme's quilt patch is parallelogram DFGH, with diagonals crossing at Q. DQ = (4x − 1) cm, QG = (x + 20) cm and FQ = (2x + 9) cm. What is x?

    Use the picture in question 1.

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Properties of parallelograms

Answer Key - Grade 10 Math Worksheet

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

  1. Jun's tile is parallelogram DFGH. DF = (3x + 4) cm, FG = (x + 9) cm and GH = (5x − 10) cm. What is x?

    7
  2. Luz's window pane is parallelogram DFGH. DF = (6x − 7) cm, FG = (2x + 5) cm and GH = (4x + 11) cm. What is x?

    Use the picture in question 1.

    9
  3. Milo's garden bed is parallelogram DFGH. DF = (5x − 6) cm, FG = (x + 12) cm and GH = (2x + 24) cm. What is x?

    Use the picture in question 1.

    10
  4. Pia's table top is parallelogram DFGH. m∠D = (4x − 12)° and m∠F = (2x + 18)°. What is x?

    Use the picture in question 1.

    29
  5. Ren's mural panel is parallelogram DFGH. m∠G = (5x + 3)° and m∠H = (3x + 17)°. What is x?

    Use the picture in question 1.

    20
  6. Tala's patio stone is parallelogram DFGH. m∠H = (3x + 4)° and m∠D = (2x + 21)°. What is x?

    Use the picture in question 1.

    31
  7. Zee's sticker is parallelogram DFGH, with diagonals crossing at Q. DQ = (2x + 3) cm, QG = (4x − 9) cm and FQ = (x + 8) cm. What is x?

    Use the picture in question 1.

    6
  8. Ari's window pane is parallelogram DFGH, with diagonals crossing at Q. DQ = (5x − 4) cm, QG = (3x + 10) cm and FQ = (x + 20) cm. What is x?

    Use the picture in question 1.

    7
  9. Bo's rug is parallelogram DFGH, with diagonals crossing at Q. DQ = (7x − 5) cm, QG = (3x + 19) cm and FQ = (2x + 15) cm. What is x?

    Use the picture in question 1.

    6
  10. Esme's quilt patch is parallelogram DFGH, with diagonals crossing at Q. DQ = (4x − 1) cm, QG = (x + 20) cm and FQ = (2x + 9) cm. What is x?

    Use the picture in question 1.

    7