Grade 7 · Math

7th grade Quadrilaterals: sides, angles and diagonals worksheet

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Quadrilaterals: sides, angles and diagonals

Grade 7 Math Worksheet - Challenge Me

NameDate

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

In Luz's quilt patch, a parallelogram CDFG, angle C is (3x + 10)° and angle D, next to it, is (2x + 30)°. What is x?
In Milo's window pane, a parallelogram CDFG, angle C is (x + 40)° and angle D, next to it, is (4x + 20)°. What is x?
In Noah's paper banner, a parallelogram CDFG, angle C is (2x + 18)° and angle D, next to it, is (x + 30)°. What is x?
In Pia's door panel, a parallelogram CDFG, angle C is (7x + 5)° and angle D, next to it, is (x + 15)°. What is x?
In Ren's quilt block, a parallelogram CDFG, angle C is (4x + 6)° and angle F, across from it, is (x + 39)°. What is x?
In Zee's paper card, a parallelogram CDFG, angle C is (3x + 20)° and angle F, across from it, is (x + 50)°. What is x?
Ari's ramp side is a trapezoid CDFG with CD parallel to GF. Angle C is 66°. What is angle G, on the same leg as angle C, in degrees?
Esme's paper banner is a trapezoid CDFG with CD parallel to GF. Angle C is 54°. What is angle G, on the same leg as angle C, in degrees?
Jun's door panel is a trapezoid CDFG with CD parallel to GF. Angle C is 97°. What is angle G, on the same leg as angle C, in degrees?
Pia's window pane is a parallelogram with a distance around of 30 cm. One side is 7 cm. How long is the side next to it, 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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