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Rectangle, Square, and Rhombus Properties - Printable Mathematics Worksheets year 10 - Wayground

Rectangle, Square, and Rhombus Properties

23 questions

10th - 10th Grade

Mathematics

Rectangle, Square, and Rhombus Properties is a Grade 10 mathematics worksheet that develops students’ ability to identify and apply defining properties of these quadrilaterals. Across 23 items, students analyze parallel and congruent sides, angle measures, and diagonal relationships, including when diagonals bisect, are congruent, or are perpendicular. They also determine unknown values using the properties of rectangles, squares, and rhombi. The worksheet combines 13 multiple-choice questions, 8 math-response problems, 1 multiple-select question, and 1 matching item. Students interpret statements, select all applicable quadrilaterals, explain what it means for diagonals to bisect each other, and solve for missing measures in named figures such as ABCD, LMNO, and TUVW. This free printable worksheet includes a complete answer key, making it useful for Grade 10 geometry practice, independent work, review, or formative assessment.

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Rectangle, Square, and Rhombus Properties

Total questions: 23

Name
Class
Date
1.

TRUE OR FALSE:

Both pairs of opposite sides of a rectangle are parallel.

a)

True

b)

False

2.

Find the value of x.

a)

x = 50

b)

x = 40

c)

x = 30

d)

x = 90

3.

TRUE OR FALSE:

Both pairs of opposite sides of a rectangle are parallel and congruent.

a)

True

b)

False

4.

TRUE OR FALSE:

Consecutive angles of a rectangle are complementary.

a)

True

b)

False

5.

TRUE OR FALSE:

The diagonals of a rectangle bisect each other.

a)

True

b)

False

6.

FILL IN THE BLANK:

The diagonals of a rectangle are ____________.

a)

Parallel

b)

Perpendicular

c)

Congruent

7.

ABCD is a rectangle.

If AC=12AC=12 , then BD=?BD=?

8.

ABCD is a rectangle.

If AC=12AC=12 , then AE=?AE=? .

9.

If Sarah wants to draw a quadrilateral with two pair of parallel sides, which quadrilateral(s) could she draw?

Select all possible answers.

a)

Square

b)

Rectangle

c)

rhombus

d)

parallelogram

10.

Each interior angle of a square is _______.

a)

obtuse angle

b)

acute angle

c)

complete angle

d)

right angle

11.
What does it mean to have diagonals bisect each other?
a)
That go across each other
b)
The point where diagonals meet is the midpoint
c)
The angles are congruent
d)
The full diagonal line is congruent to the other diagonal line
12.

LMNO is a square. What is PN?

13.

Find AB

14.
The diagonals of a rhombus are
a)
parallel
b)
congruent
c)
perpendicular
d)
equal to the side lengths
15.

Given Rhombus TUVW, find m∠2m∠2 .

a)
62
b)
28
c)
90
d)
78
16.
The figure is a rhombus.  
Solve for x.  
17.

BCDE is a rhombus. If m∠CBE=54°m∠CBE=54\degree what is the m∠CDBm∠CDB ?

a)

54°

b)

27°

c)

108°

d)

36°

18.

The figure is a rhombus. Find the measure of angle 4.

a)
90
b)
22
c)
136
d)
44
19.

In Rhombus ABCD if DC=4x−7DC=4x-7 and AD=3x−10AD=3x-10 , which of the following would be the correct equation with reason?

a)

4x - 7 = 3x - 10, all sides are congruent

b)

4x - 7 = 3x - 10, consecutive sides perpendicular

c)

4x - 7 = 3x - 10, opposite sides are congruent

d)

4x - 7 + 3x - 10 = 180, consecutive interior angles are supplementary

20.

SRQP is a rhombus. If SQ=24SQ=24 and RP=10RP=10 , find SRSR .

Hint: You will need to use Pythagorean Thm.

21.

Match the following quadrilaterals with its most specific name.

square

parallalelogram

rhombus

quadrilateral

22.

BCDE is a rhombus.

If BA=5x+5BA=5x+5 and AD=10x−20AD=10x-20 , find BDBD .

23.

BCDE is a rhombus.

Find the value of xx if m∠CDA=9x+3m∠CDA=9x+3 and m∠EDA=6x+15m∠EDA=6x+15 .

Answer Key

Rectangle, Square, and Rhombus Properties

Total questions: 23

1.
a)

True

2.
a)

x = 50

3.
a)

True

4.
b)

False

5.
a)

True

6.
c)

Congruent

7.

1212

8.

66

9.
a)

Square

, b)

Rectangle

, c)

rhombus

, d)

parallelogram

10.
d)

right angle

11.
b) The point where diagonals meet is the midpoint
12.

2323

13.

1111

14.
c) perpendicular
15.
b) 28
16.

1111

17.
b)

27°

18.
a) 90
19.
a)

4x - 7 = 3x - 10, all sides are congruent

20.

1313

21.
 - 

square

,  - 

parallalelogram

,  - 

rhombus

,  - 

quadrilateral

22.

6060

23.

44

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FAQs

What does the Rectangle, Square, and Rhombus Properties worksheet cover?

This Grade 10 worksheet covers how to use side, angle, and diagonal properties to analyze rectangles, squares, and rhombi. Its 23 items combine multiple choice, math response, multiple select, and matching formats, asking students to identify parallel or congruent sides, recognize right angles, interpret bisected diagonals, and solve for unknown measures.

How can I use this worksheet to teach rectangle, square, and rhombus properties?

Introduce the worksheet by having students sort the stated properties by figure, then model one example of using a property to find an unknown measure. As students work through the multiple-choice and math-response items, ask them to justify why a relationship applies—for example, why a rectangle’s diagonals bisect each other or why a rhombus’s diagonals are perpendicular. Use the multiple-select quadrilateral question as a discussion prompt about shared properties.

What mistakes should I watch for when students complete this worksheet?

Watch for students confusing complementary and supplementary angles when responding to the rectangle angle statement, or treating every diagonal relationship as the same. Students may also overlook that “bisect each other” means the diagonals meet at each other’s midpoint, select only one quadrilateral in the multiple-select item, or use rectangle and square properties when solving the rhombus measure problems.

How do I assign and grade this Rectangle, Square, and Rhombus Properties worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key for the 13 multiple-choice, 8 math-response, multiple-select, and matching items. For printable submissions, scan student work with the Wayground for Teachers app to help grade responses.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the property statements, answer choices, and math-response items easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the rectangle, square, and rhombus practice in its original question formats.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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