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. 1.

   Pia's square window is a quadrilateral with four sides of equal length and four right angles. What is the most exact name for its shape?

   • Parallelogram
   • Rectangle
   • Square
   • Rhombus
3. 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?

   • Square
   • Rhombus
   • Parallelogram
   • Rectangle
4. 3.

   Tala's diamond window pane is a quadrilateral with four equal sides, opposite angles equal and no right angles. What is the most exact name for its shape?

   • Rhombus
   • Square
   • Rectangle
   • Parallelogram
5. 4.

   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. 5.

   Luz's door panel is a quadrilateral CDFG with angles of 75°, 130° and 58°. The fourth angle is x°. What is x, in degrees?

   97
7. 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
8. 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
9. 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
10. 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. 10.

    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