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.

   Bo's paper banner is a quadrilateral CDFG with angles of 92°, 78° and 105°. Its fourth angle is x°, and all four angles add to 360°. What is x, in degrees?

   85
2. 2.

   Esme's kite frame is a quadrilateral CDFG with angles of 64°, 115° and 120°. Its fourth angle is x°, and all four angles add to 360°. What is x, in degrees?

   61
3. 3.

   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
4. 4.

   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
5. 5.

   Milo's window pane is a parallelogram CDFG. Angle C is 73°, and angle D is next to it. Along side CD the two angles add to 180°. What is angle D, in degrees?

   107
7. 6.

   Pia's quilt patch is a parallelogram CDFG. Its diagonals CF and DG cross at H. CH is 4 cm and DH is 6 cm. How long is diagonal CF, in cm?

   8
8. 7.

   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?

   Use the picture in question 6.

   18

9. 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.

10. 8.

    Ari draws a quadrilateral for the square window pane. The sketch marks four equal sides and four right angles. Which name fits best?

    • Rhombus
    • Square
    • Rectangle
11. 9.

    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?

    • Rectangle
    • Rhombus
    • Square
    • Parallelogram
12. 10.

    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