# Worksheet: Properties of Squares and Their Applications

Q1:

Name the quadrilaterals that have two pairs of parallel sides.

• Arectangles, trapezoids, and parallelograms
• Bsquares, rectangles, trapezoids, and parallelograms
• Ctrapezoids and parallelograms
• Dsquares, rectangles, rhombuses, and parallelograms
• Esquares, trapezoids, and parallelograms

Q2:

Are the two diagonals of a square perpendicular?

• Ayes
• Bno

Q3:

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

• Ayes
• Bno

Q4:

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

• Aa triangle
• Ba rectangle
• Ca square

Q5:

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

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

Q6:

is a square. What is the ratio of the lengths :?

• A :
• B :
• C :
• D :

Q7:

is a square. What is the ratio of the lengths :?

• A :
• B :
• C :
• D :

Q8:

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

Q9:

In the square of the figure, is 304 cm long, what is the length of ?

Q10:

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

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

Q11:

Given that is a square, find, in degrees, the values of and .

• A ,
• B ,
• C ,
• D ,

Q12:

Given that is a square, find, in degrees, the values of and .

• A ,
• B ,
• C ,
• D ,

Q13:

is a square. Find the area of .

Q14:

is a square. Find the area of .

Q15:

In the square the points are collinear. Given that , find .

• A
• B
• C
• D

Q16:

In the square the points are collinear. Given that , find .

• A
• B
• C
• D

Q17:

Given that is a square and , find .

• A
• B
• C
• D

Q18:

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