Quadrilaterals: sides, angles and diagonals
Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.
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Labeled sketch, not to scale
a quadrilateral with the facts marked on it.
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?
- Rectangle
- Rhombus
- Square
- Parallelogram
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
Esme cuts out shapes from quilt cloth. Which fact is true for every rhombus?
- Its diagonals are equal in length
- Neighbor angles are different sizes
- Its diagonals cross at right angles
- All four angles are right angles
“Labeled sketch, not to scale:” Jun cuts out shapes from quilt cloth. Which fact is true for every parallelogram?
Labeled sketch, not to scale: a stretched or leaning parallelogram next to a square one, to test each fact on both. Labeled sketch, not to scale: a stretched or leaning parallelogram next to a square one, to test each fact on both. leaning parallelogram square parallelogram - All four sides are equal
- Its diagonals are equal in length
- Opposite sides are equal in length
- All four angles are right angles
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?
Labeled sketch, not to scale: quadrilateral CDFG with angle C = 96°, angle D = 84°, angle F = 112° and angle G = x°. Labeled sketch, not to scale: quadrilateral CDFG with angle C = 96°, angle D = 84°, angle F = 112° and angle G = x°. C D F G 96° 84° 112° x° Not to scale 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?
Labeled sketch, not to scale: quadrilateral CDFG with angle C = 103°, angle D = 61°, angle F = 117° and angle G = x°. Labeled sketch, not to scale: quadrilateral CDFG with angle C = 103°, angle D = 61°, angle F = 117° and angle G = x°. C D F G 103° 61° 117° x° Not to scale 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?
Labeled sketch, not to scale: quadrilateral CDFG with angle C = 88°, angle D = 99°, angle F = 121° and angle G = x°. Labeled sketch, not to scale: quadrilateral CDFG with angle C = 88°, angle D = 99°, angle F = 121° and angle G = x°. C D F G 88° 99° 121° x° Not to scale 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?
Labeled sketch, not to scale: kite CDFG with angle C = 64° at the top, angle F = 56° at the bottom, and the side angles D and G marked equal, x° each. Labeled sketch, not to scale: kite CDFG with angle C = 64° at the top, angle F = 56° at the bottom, and the side angles D and G marked equal, x° each. C D F G 64° 56° x° x° Not to scale 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?
Labeled sketch, not to scale: kite CDFG with angle C = 110° at the top, angle F = 50° at the bottom, and the side angles D and G marked equal, x° each. Labeled sketch, not to scale: kite CDFG with angle C = 110° at the top, angle F = 50° at the bottom, and the side angles D and G marked equal, x° each. C D F G 110° 50° x° x° Not to scale 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?
Labeled sketch, not to scale: parallelogram CDFG with diagonals CF and DG crossing at H. Labeled sketch, not to scale: parallelogram CDFG with diagonals CF and DG crossing at H. C D F G H Not to scale