Quadrilaterals: sides, angles and diagonals

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   Ari's window pane is a quadrilateral CDFG with angles of 85°, 110° and 70°. Its fourth angle is x°, and all four angles add to 360°. What is x, in degrees?

   95
2. 2.

   Jun's door panel is a quadrilateral CDFG with angles of 100°, 56° and 98°. Its fourth angle is x°, and all four angles add to 360°. What is x, in degrees?

   106
3. 3.

   Luz's kite panel is a parallelogram CDFG. Angle C is 124°, and angle D is next to it. Along side CD the two angles add to 180°. What is angle D, in degrees?

   56
4. 4.

   Noah's paper banner is a parallelogram CDFG. Angle C is 51°, and angle D is next to it. Along side CD the two angles add to 180°. What is angle D, in degrees?

   129
5. 5.

   Tala's paper banner is a parallelogram CDFG. Its diagonals CF and DG cross at H. CH is 9 cm and DH is 8 cm. How long is diagonal CF, in cm?

   18

6. Read this first

   Labeled sketch, not to scale

   a quadrilateral with its marks (tick marks for equal sides, arrow marks for parallel sides, right angles for right angles). Name list: parallelogram = two pairs of parallel sides; rectangle = four right angles; rhombus = four equal sides; square = four equal sides and four right angles; trapezoid = exactly one pair of parallel sides.

7. 6.

   Bo draws a quadrilateral for the door panel. The sketch marks four right angles and opposite sides equal, but the sides are not all equal. Which name fits best?

   • Rectangle
   • Square
   • Parallelogram
   • Rhombus
8. 7.

   Esme draws a quadrilateral for the quilt patch. The sketch marks two pairs of parallel sides and opposite sides equal, with no right angles. Which name fits best?

   • Rectangle
   • Parallelogram
   • Trapezoid
9. 8.

   Kira draws a quadrilateral for the quilt diamond. The sketch marks four equal sides and opposite angles equal, with no right angles. Which name fits best?

   • Rhombus
   • Parallelogram
   • Rectangle
   • Square
10. 9.

    Luz's quilt patch is a parallelogram. Two sides next to each other are 6 cm and 9 cm. Opposite sides are equal. What is the distance around it, in cm?

    30
11. 10.

    Noah's paper banner is a parallelogram. Two sides next to each other are 8 cm and 5 cm. Opposite sides are equal. What is the distance around it, in cm?

    26