Quadrilaterals: sides, angles and diagonals

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   a quadrilateral with the facts marked on it. 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
2. 2.

   “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
   • All four sides are equal
   • Its diagonals are equal in length
   • Opposite sides are equal in length
3. 3.

   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
4. 4.

   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
5. 5.

   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
6. 6.

   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
7. 7.

   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
8. 8.

   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
9. 9.

   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
10. 10.

    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?

    12