Properties of parallelograms

Grade 10 Math Worksheet - Challenge Me

NameDate

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

  1. Kira's garden bed is parallelogram DFGH. m∠F = (4x + 9)° and m∠H = (6x − 31)°. What is m∠G, in degrees?

  2. Luz's table top is parallelogram DFGH. m∠G = (2x + 47)° and m∠D = (5x − 4)°. What is m∠H, in degrees?

    Use the picture in question 1.

  3. Noah's sticker is parallelogram DFGH, with diagonals crossing at Q. DQ = (x + 5) cm and QG = (3x − 7) cm. How long is diagonal DG, in cm?

    Use the picture in question 1.

  4. Pia's window pane is parallelogram DFGH, with diagonals crossing at Q. FQ = (2x + 1) cm and QH = (5x − 11) cm. How long is diagonal FH, in cm?

    Use the picture in question 1.

  5. Ren's rug is parallelogram DFGH, with diagonals crossing at Q. DQ = (4x − 5) cm and QG = (2x + 11) cm. How long is diagonal DG, in cm?

    Use the picture in question 1.

  6. Tala's quilt patch is parallelogram DFGH, with diagonals crossing at Q. FQ = (6x − 8) cm and QH = (4x + 2) cm. How long is diagonal FH, in cm?

    Use the picture in question 1.

  7. Zee's garden bed is parallelogram DFGH. DF = (2x + 1) cm, FG = (x + 4) cm and GH = (3x − 5) cm. What is the perimeter, in cm?

    Use the picture in question 1.

  8. Ari's table top is parallelogram DFGH. DF = (4x − 3) cm, FG = (2x + 1) cm and GH = (x + 15) cm. What is the perimeter, in cm?

    Use the picture in question 1.

  9. Bo's mural panel is parallelogram DFGH. DF = (6x + 2) cm, FG = (2x + 3) cm and GH = (9x − 10) cm. What is the perimeter, in cm?

    Use the picture in question 1.

  10. Esme's patio stone is parallelogram DFGH. FG = (3x + 2) cm, DF = (x + 9) cm and HD = (5x − 12) cm. What is the perimeter, in cm?

    Use the picture in question 1.

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Properties of parallelograms

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

  1. Kira's garden bed is parallelogram DFGH. m∠F = (4x + 9)° and m∠H = (6x − 31)°. What is m∠G, in degrees?

    91
  2. Luz's table top is parallelogram DFGH. m∠G = (2x + 47)° and m∠D = (5x − 4)°. What is m∠H, in degrees?

    Use the picture in question 1.

    99
  3. Noah's sticker is parallelogram DFGH, with diagonals crossing at Q. DQ = (x + 5) cm and QG = (3x − 7) cm. How long is diagonal DG, in cm?

    Use the picture in question 1.

    22
  4. Pia's window pane is parallelogram DFGH, with diagonals crossing at Q. FQ = (2x + 1) cm and QH = (5x − 11) cm. How long is diagonal FH, in cm?

    Use the picture in question 1.

    18
  5. Ren's rug is parallelogram DFGH, with diagonals crossing at Q. DQ = (4x − 5) cm and QG = (2x + 11) cm. How long is diagonal DG, in cm?

    Use the picture in question 1.

    54
  6. Tala's quilt patch is parallelogram DFGH, with diagonals crossing at Q. FQ = (6x − 8) cm and QH = (4x + 2) cm. How long is diagonal FH, in cm?

    Use the picture in question 1.

    44
  7. Zee's garden bed is parallelogram DFGH. DF = (2x + 1) cm, FG = (x + 4) cm and GH = (3x − 5) cm. What is the perimeter, in cm?

    Use the picture in question 1.

    46
  8. Ari's table top is parallelogram DFGH. DF = (4x − 3) cm, FG = (2x + 1) cm and GH = (x + 15) cm. What is the perimeter, in cm?

    Use the picture in question 1.

    68
  9. Bo's mural panel is parallelogram DFGH. DF = (6x + 2) cm, FG = (2x + 3) cm and GH = (9x − 10) cm. What is the perimeter, in cm?

    Use the picture in question 1.

    74
  10. Esme's patio stone is parallelogram DFGH. FG = (3x + 2) cm, DF = (x + 9) cm and HD = (5x − 12) cm. What is the perimeter, in cm?

    Use the picture in question 1.

    78