Worksheet

Quadrilaterals: sides, angles and diagonals

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Bo's paper banner is a quadrilateral CDFG with angles of 92°, 78° and 105°. Its fourth angle is x°, and all four angles add to 360°. What is x, in degrees?

  2. Milo's window pane is a parallelogram CDFG. Angle C is 73°, and angle D is next to it. Along side CD the two angles add to 180°. What is angle D, in degrees?

  3. Noah's paper banner is a parallelogram CDFG. Angle C is 51°, and angle D is next to it. Along side CD the two angles add to 180°. What is angle D, in degrees?

  5. Ren's window frame is a parallelogram CDFG. Its diagonals CF and DG cross at H. CH is 7 cm and DH is 5 cm. How long is diagonal CF, in cm?

  6. Tala's paper banner is a parallelogram CDFG. Its diagonals CF and DG cross at H. CH is 9 cm and DH is 8 cm. How long is diagonal CF, in cm?

    Use the picture in question 4.

  7. Zee's door panel is a parallelogram CDFG. Its diagonals CF and DG cross at H. CH is 6 cm and DH is 10 cm. How long is diagonal CF, in cm?

    Use the picture in question 4.

  8. Read this first

    Labeled sketch, not to scale

    a quadrilateral with its marks (tick marks for equal sides, arrow marks for parallel sides, right angles for right angles). Name list: parallelogram = two pairs of parallel sides; rectangle = four right angles; rhombus = four equal sides; square = four equal sides and four right angles; trapezoid = exactly one pair of parallel sides.

  9. Ari draws a quadrilateral for the square window pane. The sketch marks four equal sides and four right angles. Which name fits best?

    • Square
    • Rhombus
    • Rectangle

  10. Esme draws a quadrilateral for the quilt patch. The sketch marks two pairs of parallel sides and opposite sides equal, with no right angles. Which name fits best?

    • Trapezoid
    • Parallelogram
    • Rectangle

  11. Jun draws a quadrilateral for the ramp side. The sketch marks exactly one pair of parallel sides. Which name fits best?

    • Parallelogram
    • Trapezoid
    • Rectangle

  12. Luz's quilt patch is a parallelogram. Two sides next to each other are 6 cm and 9 cm. Opposite sides are equal. What is the distance around it, in cm?

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Quadrilaterals: sides, angles and diagonals

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

  1. Bo's paper banner is a quadrilateral CDFG with angles of 92°, 78° and 105°. Its fourth angle is x°, and all four angles add to 360°. What is x, in degrees?

    85

  2. Milo's window pane is a parallelogram CDFG. Angle C is 73°, and angle D is next to it. Along side CD the two angles add to 180°. What is angle D, in degrees?

    107

  3. Noah's paper banner is a parallelogram CDFG. Angle C is 51°, and angle D is next to it. Along side CD the two angles add to 180°. What is angle D, in degrees?

    129

  5. Ren's window frame is a parallelogram CDFG. Its diagonals CF and DG cross at H. CH is 7 cm and DH is 5 cm. How long is diagonal CF, in cm?

    14

  6. Tala's paper banner is a parallelogram CDFG. Its diagonals CF and DG cross at H. CH is 9 cm and DH is 8 cm. How long is diagonal CF, in cm?

    Use the picture in question 4.

    18

  7. Zee's door panel is a parallelogram CDFG. Its diagonals CF and DG cross at H. CH is 6 cm and DH is 10 cm. How long is diagonal CF, in cm?

    Use the picture in question 4.

    12

  8. Read this first

    Labeled sketch, not to scale

    a quadrilateral with its marks (tick marks for equal sides, arrow marks for parallel sides, right angles for right angles). Name list: parallelogram = two pairs of parallel sides; rectangle = four right angles; rhombus = four equal sides; square = four equal sides and four right angles; trapezoid = exactly one pair of parallel sides.

  9. Ari draws a quadrilateral for the square window pane. The sketch marks four equal sides and four right angles. Which name fits best?

    • Square
    • Rhombus
    • Rectangle

  10. Esme draws a quadrilateral for the quilt patch. The sketch marks two pairs of parallel sides and opposite sides equal, with no right angles. Which name fits best?

    • Trapezoid
    • Parallelogram
    • Rectangle

  11. Jun draws a quadrilateral for the ramp side. The sketch marks exactly one pair of parallel sides. Which name fits best?

    • Parallelogram
    • Trapezoid
    • Rectangle

  12. Luz's quilt patch is a parallelogram. Two sides next to each other are 6 cm and 9 cm. Opposite sides are equal. What is the distance around it, in cm?

    30