Quadrilaterals: sides, angles and diagonals

Grade 7 Math Worksheet

NameDate

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

  1. a quadrilateral with the facts marked on it. 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?

    • Rhombus
    • Square
    • Rectangle
    • Parallelogram
  2. Read this first

    Use this

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

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

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

    • All four angles are right angles
    • Its diagonals are equal in length
    • Opposite sides are equal in length
    • All four sides are equal
  5. 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?

  6. 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?

  7. 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?

  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 Ren's window pane, a parallelogram CDFG, splits angle C into 38° and 44°. What is angle F, across from angle C, in degrees?

  10. Zee draws a kite CDFG with angle C = 80° and angle F = 50°. The two side angles, D and G, are equal, x° each. What is x, in degrees?

  11. 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?

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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. a quadrilateral with the facts marked on it. 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?

    • Rhombus
    • Square
    • Rectangle
    • Parallelogram
  2. Read this first

    Use this

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

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

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

    • All four angles are right angles
    • Its diagonals are equal in length
    • Opposite sides are equal in length
    • All four sides are equal
  5. 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
  6. 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
  7. 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
  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 Ren's window pane, a parallelogram CDFG, splits angle C into 38° and 44°. What is angle F, across from angle C, in degrees?

    82
  10. Zee draws a kite CDFG with angle C = 80° and angle F = 50°. The two side angles, D and G, are equal, x° each. What is x, in degrees?

    115
  11. 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