Grade 10 · Math · Geometry

10th grade Properties of parallelograms worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Properties of parallelograms

Grade 10 Math Worksheet - Challenge Me

NameDate

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

Kira's garden bed is parallelogram DFGH. m∠F = (4x + 9)° and m∠H = (6x − 31)°. What is m∠G, in degrees?
Luz's table top is parallelogram DFGH. m∠G = (2x + 47)° and m∠D = (5x − 4)°. What is m∠H, in degrees?
Use the picture in question 1.
Noah's sticker is parallelogram DFGH, with diagonals crossing at Q. DQ = (x + 5) cm and QG = (3x − 7) cm. How long is diagonal DG, in cm?
Use the picture in question 1.
Pia's window pane is parallelogram DFGH, with diagonals crossing at Q. FQ = (2x + 1) cm and QH = (5x − 11) cm. How long is diagonal FH, in cm?
Use the picture in question 1.
Ren's rug is parallelogram DFGH, with diagonals crossing at Q. DQ = (4x − 5) cm and QG = (2x + 11) cm. How long is diagonal DG, in cm?
Use the picture in question 1.
Tala's quilt patch is parallelogram DFGH, with diagonals crossing at Q. FQ = (6x − 8) cm and QH = (4x + 2) cm. How long is diagonal FH, in cm?
Use the picture in question 1.
Zee's garden bed is parallelogram DFGH. DF = (2x + 1) cm, FG = (x + 4) cm and GH = (3x − 5) cm. What is the perimeter, in cm?
Use the picture in question 1.
Ari's table top is parallelogram DFGH. DF = (4x − 3) cm, FG = (2x + 1) cm and GH = (x + 15) cm. What is the perimeter, in cm?
Use the picture in question 1.
Bo's mural panel is parallelogram DFGH. DF = (6x + 2) cm, FG = (2x + 3) cm and GH = (9x − 10) cm. What is the perimeter, in cm?
Use the picture in question 1.
Esme's patio stone is parallelogram DFGH. FG = (3x + 2) cm, DF = (x + 9) cm and HD = (5x − 12) cm. What is the perimeter, in cm?
Use the picture in question 1.

10th grade Properties of parallelograms worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Properties of parallelograms. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can use the facts of a parallelogram: opposite sides equal, opposite angles equal, next-door angles add to 180°, and the diagonals cut each other in half.
I can write and solve an equation from those facts, then find the length or angle asked for.

Standard: G-CO.C.11

Words to know

parallelogram: A four-sided shape whose opposite sides are parallel.

opposite sides / angles: Sides that face each other; corners across from each other.

consecutive (next-door) angles: Two corners joined by one side, such as ∠D and ∠F.

diagonal: A segment from one corner to the corner across from it.

bisect: Cut into two equal halves.

perimeter: The distance all the way around.

Common mistakes

Your child made two angles next to each other equal. In a parallelogram, opposite angles are equal and angles next to each other add to 180°.

Your child used 360° (all four angles) for two angles next to each other. Two neighboring angles of a parallelogram add to 180°.

Your child treated the two diagonals as equal. That is true for a rectangle, but not for every parallelogram. In a parallelogram, each diagonal is cut in half, and the halves of one diagonal match each other.

What to say

Ask: which corner is across from this one?

Questions parents ask

What is the most common mistake with properties of parallelograms?

Your child made two angles next to each other equal. In a parallelogram, opposite angles are equal and angles next to each other add to 180°.

How can I help my child with properties of parallelograms?

Ask: which corner is across from this one?

Are these 10th 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 geometry

See all Geometry

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records