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 𝐴𝐵𝐶𝐷 is a square whose perimeter is 232 cm, find the lengths of 𝐴𝐵 and 𝐶𝐸. Then find area of 𝐸𝐷𝐵.

  • A 𝐴 𝐵 = 5 8 c m , 𝐶 𝐸 = 2 9 c m , area of 𝐸𝐷𝐵=841cm
  • B 𝐴 𝐵 = 5 8 c m , 𝐶 𝐸 = 2 9 c m , area of 𝐸𝐷𝐵=1,682cm
  • C 𝐴 𝐵 = 1 5 . 2 3 c m , 𝐶 𝐸 = 7 . 6 2 c m , area of 𝐸𝐷𝐵=232.11cm
  • D 𝐴 𝐵 = 1 5 . 2 3 c m , 𝐶 𝐸 = 7 . 6 2 c m , area of 𝐸𝐷𝐵=58.03cm
  • E 𝐴 𝐵 = 1 5 . 2 3 c m , 𝐶 𝐸 = 7 . 6 2 c m , area of 𝐸𝐷𝐵=116.05cm

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 180?

  • 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, 𝐴𝐵 is 160 cm long, what is the length of 𝑀𝐶?

Q7:

Find the perimeter of the square 𝐴𝐵𝐶𝐷 below, and determine 𝑚𝐸𝐶𝐷 if 𝑚𝐵𝐶𝐸=70.

  • A 120 cm, 4 5
  • B 240 cm, 2 0
  • C 120 cm, 7 0
  • D 240 cm, 9 0

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 45?

  • 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:

𝐴 𝐵 𝐶 𝐷 is a square. Are 𝐴𝐶 and 𝐵𝐷 parallel or perpendicular?

  • Aparallel
  • Bperpendicular

Q20:

𝐴 𝐵 𝐶 𝐷 is a square. Are 𝐴𝐷 and 𝐵𝐶 parallel or perpendicular?

  • Aparallel
  • Bperpendicular

Q21:

In the square 𝐴𝐵𝐶𝐷, are 𝐴𝐵 and 𝐵𝐶 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

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