Quadrilaterals: sides, angles and diagonals
Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.
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?
- Rhombus
- Square
- Rectangle
- Parallelogram
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Labeled sketch, not to scale: a stretched or leaning rectangle next to a square one, to test each fact on both.
Bo cuts out shapes from paper. Which fact is true for every rectangle?
- All four sides are equal
- Neighbor sides are different lengths
- Its diagonals are equal in length
- Its diagonals cross at 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 angles are right angles
- Its diagonals are equal in length
- Opposite sides are equal in length
- All four sides are equal
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 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?
Labeled sketch, not to scale: parallelogram CDFG with a diagonal from C splitting angle C into 24° and 31°. Angle F is across from angle C. Labeled sketch, not to scale: parallelogram CDFG with a diagonal from C splitting angle C into 24° and 31°. Angle F is across from angle C. 24° 31° C D F G Angle F is across from angle C. Not to scale. 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?
Labeled sketch, not to scale: parallelogram CDFG with a diagonal from C splitting angle C into 38° and 44°. Angle F is across from angle C. Labeled sketch, not to scale: parallelogram CDFG with a diagonal from C splitting angle C into 38° and 44°. Angle F is across from angle C. 38° 44° C D G F Not to scale. Zee draws a kite CDFG with angle C = 80° 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 = 80° 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 = 80° at the top, angle F = 50° at the bottom, and the side angles D and G marked equal, x° each. C D F G 80° 50° x° 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