Quadrilaterals: sides, angles and diagonals
Grade 7 Math Worksheet
Circle the best answer, or write your answer on the line.
Read this first
Labeled sketch, not to scale
a quadrilateral with the facts marked on it.
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?
- Rectangle
- Rhombus
- Square
- Parallelogram
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
- Parallelogram
- Rectangle
- Square
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?
- Rectangle
- Parallelogram
- Square
- Rhombus
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?
- Parallelogram
- Trapezoid
- Rhombus
Esme cuts out shapes from quilt cloth. Which fact is true for every rhombus?
- Its diagonals cross at right angles
- Its diagonals are equal in length
- Neighbor angles are different sizes
- All four angles are right angles
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?
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?
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?
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?
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?