Grade 7 · Math

7th grade Quadrilaterals: sides, angles and diagonals worksheet

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Quadrilaterals: sides, angles and diagonals

Grade 7 Math Worksheet

NameDate

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

1.
a quadrilateral with the facts marked on it. 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
2.
“Labeled sketch, not to scale:” Jun cuts out shapes from quilt cloth. Which fact is true for every parallelogram?
- All four angles are right angles
- All four sides are equal
- Its diagonals are equal in length
- Opposite sides are equal in length
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?
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?
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?
A diagonal of Tala's paper banner, a parallelogram CDFG, splits angle C into 47° and 29°. What is angle F, across from angle C, in degrees?
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?
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?

7th grade Quadrilaterals: sides, angles and diagonals worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Quadrilaterals: sides, angles and diagonals. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can name a quadrilateral from its facts (parallel sides, equal sides, right angles) and pick the most exact name.
I can find a missing angle in a quadrilateral (360°), in a parallelogram (opposite equal, next-to 180°), in a trapezoid (same leg 180°) and in a rhombus (the diagonal splits the corner), even when the angles are written with x.
I can use the diagonals (they cut each other in half) and the perimeter (opposite sides are equal) to find an unknown length.

Standard: state-only (CCSS 5.G.B.4)

Words to know

quadrilateral: Any flat shape with four straight sides. Its four angles add to 360°.

parallelogram: A quadrilateral with two pairs of parallel sides. Opposite sides and opposite angles are equal.

rectangle: A parallelogram with four right angles. Its diagonals are equal.

rhombus: A parallelogram with four equal sides. Its diagonals cross at right angles.

square: A shape that is both a rectangle and a rhombus.

trapezoid: A quadrilateral with exactly one pair of parallel sides.

diagonal: A line from one corner to the opposite corner.

leg: One of the two slanted sides of a trapezoid, between the parallel sides.

Common mistakes

Your child added the three known angles instead of taking them away from the total.

Your child took only two of the three known angles away from 360°.

Your child gave the angle that was already given instead of the one next to it.

What to say

Ask: is the missing angle all of the angles together, or what is left over?

Ask: how many angles did the question give, and did we use them all?

Ask: are angles side by side along one side of a parallelogram equal, or do they add to 180°?

Questions parents ask

What is the most common mistake with quadrilaterals: sides, angles and diagonals?

Your child added the three known angles instead of taking them away from the total.

How can I help my child with quadrilaterals: sides, angles and diagonals?

Ask: is the missing angle all of the angles together, or what is left over?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

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