# Worksheet: Properties of Squares

In this worksheet, we will practice solving problems using the properties of squares.

**Q1: **

What is the name for a rhombus in which one of the angles is a right angle?

- Aa rectangle
- Ba square
- Ca triangle

**Q2: **

Given that is a square whose perimeter is 232 cm, find the lengths of and . Then find area of .

- A , , area of
- B , , area of
- C , , area of
- D , , area of
- E , , area of

**Q3: **

Are the two diagonals of a square perpendicular?

- ANo
- BYes

**Q4: **

Is the sum of two consecutive angles in squares and rhombuses equal to ?

- Ano
- Byes

**Q5: **

Which of the following statements must be true about a square?

- AIt has four right angles.
- BIt has four sides of equal length.
- CIt has two pairs of parallel opposite sides.
- DAll these statements are true.

**Q6: **

In the square of the figure, is 160 cm long, what is the length of ?

**Q7: **

Find the perimeter of the square below, and determine if .

- A 120 cm,
- B 240 cm,
- C 120 cm,
- D 240 cm,

**Q8: **

Is the following statement true or false? In a square, all angles are right angles and all sides are equal in length.

- Atrue
- Bfalse

**Q9: **

What is the measure of any angle in a square?

**Q10: **

In which of the following shapes are all the sides the same length?

- Asquare
- Brectangle
- Cparallelogram
- Dtrapezium

**Q11: **

Does a square have right angles?

- AYes
- BNo

**Q12: **

Are the opposite sides of a square parallel?

- A No
- B Yes

**Q13: **

Are any of the angles in a square ?

- A no
- B yes

**Q14: **

All squares .

- Aare congruent
- Bare not similar
- Chave the same area
- Dare similar

**Q15: **

Are the sides of a square equal in length?

- Ayes
- Bno

**Q16: **

What can you say about the diagonals of a square?

- AThey are just equal in length.
- BThey are perpendicular and equal in length.
- CThey are just perpendicular.
- DThey are neither perpendicular nor equal in length.

**Q17: **

Is it true that all squares are rectangles but not all rectangles are squares?

- A no
- B yes

**Q18: **

Olivia draws a quadrilateral with 4 equal sides and 4 right angles. What quadrilateral is it?

- A a square
- B a triangle
- C a pyramid
- D a rectangle
- E a cube

**Q19: **

is a square. Are and parallel or perpendicular?

- Aparallel
- Bperpendicular

**Q20: **

is a square. Are and parallel or perpendicular?

- Aparallel
- Bperpendicular

**Q21: **

In the square , are and perpendicular or parallel?

- Aperpendicular
- Bparallel

**Q22: **

Determine whether the following statement is true or false: A rectangle is a square.

- Afalse
- Btrue

**Q23: **

Determine whether the following statement is true or false: A square is a rhombus.

- Atrue
- Bfalse

**Q24: **

Determine whether the following statement is true or false: A square is a parallelogram.

- Atrue
- Bfalse

**Q25: **

Determine whether the following statement is true or false: A square is a rectangle.

- Afalse
- Btrue