Worksheet

Quadrilaterals: sides, angles and diagonals

Grade 7 Math Worksheet

NameDate

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

  1. Read this first

    Labeled sketch, not to scale

    a quadrilateral with the facts marked on it.

  2. Ren's paper card is a quadrilateral with four right angles, and the long sides are longer than the short sides. What is the most exact name for its shape?

    • Parallelogram
    • Rectangle
    • Rhombus
    • Square

  3. Zee's quilt block is a quadrilateral with two pairs of parallel sides, no right angles and neighbor sides of different lengths. What is the most exact name for its shape?

    • Parallelogram
    • Rhombus
    • Trapezoid

  4. Ari's ramp side is a quadrilateral with exactly one pair of parallel sides. What is the most exact name for its shape?

    • Parallelogram
    • Rectangle
    • Trapezoid

  5. Use this

    Labeled sketch, not to scale: a stretched or leaning rectangle next to a square one, to test each fact on both.

  6. Bo cuts out shapes from paper. Which fact is true for every rectangle?

    • All four sides are equal
    • Its diagonals cross at right angles
    • Neighbor sides are different lengths
    • Its diagonals are equal in length

  7. Esme cuts out shapes from quilt cloth. Which fact is true for every rhombus?

    • Neighbor angles are different sizes
    • All four angles are right angles
    • Its diagonals cross at right angles
    • Its diagonals are equal in length

  8. A diagonal of Pia's quilt patch, a parallelogram CDFG, splits angle C into 24° and 31°. What is angle F, across from angle C, in degrees?

  9. A diagonal of Tala's paper banner, a parallelogram CDFG, splits angle C into 47° and 29°. What is angle F, across from angle C, in degrees?

  11. The diagonals of Esme's quilt patch, a parallelogram CDFG, cross at H. CH is 3 cm and DH is 8 cm. How long is diagonal DG, in cm?

  12. The diagonals of Jun's window frame, a parallelogram CDFG, cross at H. CH is 11 cm and DH is 6 cm. How long is diagonal DG, in cm?

    Use the picture in question 8.

  13. The diagonals of Kira's paper banner, a parallelogram CDFG, cross at H. CH is 7 cm and DH is 10 cm. How long is diagonal DG, in cm?

    Use the picture in question 8.

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Quadrilaterals: sides, angles and diagonals

Answer Key - Grade 7 Math Worksheet

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

  1. Read this first

    Labeled sketch, not to scale

    a quadrilateral with the facts marked on it.

  2. Ren's paper card is a quadrilateral with four right angles, and the long sides are longer than the short sides. What is the most exact name for its shape?

    • Parallelogram
    • Rectangle
    • Rhombus
    • Square

  3. Zee's quilt block is a quadrilateral with two pairs of parallel sides, no right angles and neighbor sides of different lengths. What is the most exact name for its shape?

    • Parallelogram
    • Rhombus
    • Trapezoid

  4. Ari's ramp side is a quadrilateral with exactly one pair of parallel sides. What is the most exact name for its shape?

    • Parallelogram
    • Rectangle
    • Trapezoid

  5. Use this

    Labeled sketch, not to scale: a stretched or leaning rectangle next to a square one, to test each fact on both.

  6. Bo cuts out shapes from paper. Which fact is true for every rectangle?

    • All four sides are equal
    • Its diagonals cross at right angles
    • Neighbor sides are different lengths
    • Its diagonals are equal in length

  7. Esme cuts out shapes from quilt cloth. Which fact is true for every rhombus?

    • Neighbor angles are different sizes
    • All four angles are right angles
    • Its diagonals cross at right angles
    • Its diagonals are equal in length

  8. A diagonal of Pia's quilt patch, a parallelogram CDFG, splits angle C into 24° and 31°. What is angle F, across from angle C, in degrees?

    55

  9. A diagonal of Tala's paper banner, a parallelogram CDFG, splits angle C into 47° and 29°. What is angle F, across from angle C, in degrees?

    76

  11. The diagonals of Esme's quilt patch, a parallelogram CDFG, cross at H. CH is 3 cm and DH is 8 cm. How long is diagonal DG, in cm?

    16

  12. The diagonals of Jun's window frame, a parallelogram CDFG, cross at H. CH is 11 cm and DH is 6 cm. How long is diagonal DG, in cm?

    Use the picture in question 8.

    12

  13. The diagonals of Kira's paper banner, a parallelogram CDFG, cross at H. CH is 7 cm and DH is 10 cm. How long is diagonal DG, in cm?

    Use the picture in question 8.

    20