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?

    • Rectangle
    • Rhombus
    • Square
    • Parallelogram
  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?

    • Rhombus
    • Trapezoid
    • Parallelogram
  4. Esme cuts out shapes from quilt cloth. Which fact is true for every rhombus?

    • Its diagonals are equal in length
    • Neighbor angles are different sizes
    • Its diagonals cross at right angles
    • All four angles are right angles
  5. “Labeled sketch, not to scale:” Jun cuts out shapes from quilt cloth. Which fact is true for every parallelogram?

    • All four sides are equal
    • Its diagonals are equal in length
    • Opposite sides are equal in length
    • All four angles are right angles
  6. Kira's window frame is a quadrilateral CDFG with angles of 96°, 84° and 112°. The fourth angle is x°. What is x, in degrees?

  7. Milo's paper banner is a quadrilateral CDFG with angles of 103°, 61° and 117°. The fourth angle is x°. What is x, in degrees?

  8. Noah's quilt patch is a quadrilateral CDFG with angles of 88°, 99° and 121°. The fourth angle is x°. What is x, in degrees?

  9. Ari draws a kite CDFG with angle C = 64° and angle F = 56°. The two side angles, D and G, are equal, x° each. What is x, in degrees?

  10. Bo draws a kite CDFG with angle C = 110° and angle F = 50°. The two side angles, D and G, are equal, x° each. What is x, in degrees?

  11. 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?

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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?

    • Rectangle
    • Rhombus
    • Square
    • Parallelogram
  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?

    • Rhombus
    • Trapezoid
    • Parallelogram
  4. Esme cuts out shapes from quilt cloth. Which fact is true for every rhombus?

    • Its diagonals are equal in length
    • Neighbor angles are different sizes
    • Its diagonals cross at right angles
    • All four angles are right angles
  5. “Labeled sketch, not to scale:” Jun cuts out shapes from quilt cloth. Which fact is true for every parallelogram?

    • All four sides are equal
    • Its diagonals are equal in length
    • Opposite sides are equal in length
    • All four angles are right angles
  6. Kira's window frame is a quadrilateral CDFG with angles of 96°, 84° and 112°. The fourth angle is x°. What is x, in degrees?

    68
  7. Milo's paper banner is a quadrilateral CDFG with angles of 103°, 61° and 117°. The fourth angle is x°. What is x, in degrees?

    79
  8. Noah's quilt patch is a quadrilateral CDFG with angles of 88°, 99° and 121°. The fourth angle is x°. What is x, in degrees?

    52
  9. Ari draws a kite CDFG with angle C = 64° and angle F = 56°. The two side angles, D and G, are equal, x° each. What is x, in degrees?

    120
  10. Bo draws a kite CDFG with angle C = 110° and angle F = 50°. The two side angles, D and G, are equal, x° each. What is x, in degrees?

    100
  11. 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?

    20