Grade 10 · Math · Geometry

10th grade Rectangles, rhombuses and squares worksheet

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Rectangles, rhombuses and squares

Grade 10 Math Worksheet - Challenge Me

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

Milo's kite frame is rhombus SUVW, with diagonals crossing at C. m∠CSU = (2x − 3)° and m∠CUS = (2x − 15)°. What is m∠SUV, in degrees?
Noah's tile is rhombus SUVW, with diagonals crossing at C. m∠CSU = (4x + 10)° and m∠CUS = (2x − 10)°. What is m∠SUV, in degrees?
Use the picture in question 1.
Pia's garden bed is rhombus SUVW, with diagonals crossing at C. m∠CSU = (6x − 12)° and m∠CUS = (2x + 22)°. What is m∠SUV, in degrees?
Use the picture in question 1.
Tala's table top is rectangle SUVW, with diagonals crossing at C. SC = (2x − 4) cm and CU = (x + 8) cm. How long is diagonal SV, in cm?
Zee's window is rectangle SUVW, with diagonals crossing at C. SC = (3x − 7) cm and CU = (x + 9) cm. How long is diagonal SV, in cm?
Use the picture in question 4.
Ari's poster is rectangle SUVW, with diagonals crossing at C. SC = (4x − 3) cm and CU = (3x + 3) cm. How long is diagonal SV, in cm?
Use the picture in question 4.
Esme's photo frame is rectangle SUVW, with diagonals crossing at C. m∠CSU = (2x − 2)° and m∠CUS = (x + 12)°. What is m∠SCU, in degrees?
Jun's window is rectangle SUVW, with diagonals crossing at C. m∠CSU = (3x − 3)° and m∠CUS = (2x + 12)°. What is m∠SCU, in degrees?
Use the picture in question 7.
Kira's table top is rectangle SUVW, with diagonals crossing at C. m∠CSU = (4x − 7)° and m∠CUS = (3x + 5)°. What is m∠SCU, in degrees?
Use the picture in question 7.
Luz's door is rectangle SUVW, with diagonals crossing at C. m∠CSU = (5x − 4)° and m∠CUS = (3x + 24)°. What is m∠SCU, in degrees?
Use the picture in question 7.

10th grade Rectangles, rhombuses and squares worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Rectangles, rhombuses and squares. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can say which diagonal facts belong to rectangles, rhombuses and squares, and that every square is both a rectangle and a rhombus.
I can use those facts to write and solve an equation, then find the angle or length asked for.

Standard: G-CO.C.11

Words to know

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: Both a rectangle and a rhombus: four right angles and four equal sides.

perpendicular: Crossing at a right angle (90°).

bisect an angle: Cut a corner into two equal angles.

Common mistakes

Your child mixed up the diagonal facts: a rectangle's diagonals are equal, and a rhombus's diagonals cross at right angles. Draw both shapes with their diagonals and compare.

Your child gave a special diagonal fact to every parallelogram. A leaning parallelogram has diagonals of different lengths that cross at a slant. Draw one and measure.

Your child turned the family around. Every square is a rectangle and a rhombus, but most rectangles and rhombuses are not squares.

What to say

Ask: can you draw a rectangle that is not a square?

Questions parents ask

What is the most common mistake with rectangles, rhombuses and squares?

Your child mixed up the diagonal facts: a rectangle's diagonals are equal, and a rhombus's diagonals cross at right angles. Draw both shapes with their diagonals and compare.

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

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