# Worksheet: Properties of Rectangles

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

Q1:

Does the measure of any angle in a rectangle equal ?

• ANo
• BYes

Q2:

In rectangle , which side length is equal to ?

• A
• B
• C

Q3:

In a rectangle , which line is perpendicular to ?

• A
• B
• C

Q4:

Are the opposite angles equal in rectangles and parallelograms?

• Ayes
• Bno

Q5:

A rectangle is a special type of parallelogram that has .

• Aa right angle
• Bfour equal sides
• Ctwo perpendicular diagonals

Q6:

Is the sum of two consecutive angles in rectangles and parallelograms equal to ?

• Ano
• Byes

Q7:

The two diagonals of a rectangle are .

• Aequal in length
• Bperpendicular
• Cperpendicular and equal in length
• Dparallel

Q8:

Are the angles in a rectangle right angles?

• Ano
• Byes

Q9:

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

• AIt has four sides of equal length.
• BIt has exactly one pair of parallel sides.
• CIt has four congruent sides.
• DIt has two pairs of parallel opposite sides and four right angles.

Q10:

Do the sides of a rectangle have to be equal in length?

• Ayes
• Bno

Q11:

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

• Aa rectangle
• Ba rhombus
• Ca trapezium

Q12:

Are the opposite sides of a rectangle parallel?

• ANo
• BYes

Q13:

Determine the diagonal length of the rectangle whose perimeter is 326.4 cm and length is 115.2 cm.

Q14:

A rectangular park has two walking paths as shown. If and , find the length of .

Q15:

Are the opposite angles in squares and rectangles equal?

• Ayes
• Bno

Q16:

In rectangle , which side is perpendicular to ?

• A
• B
• C

Q17:

The diagonals of a rectangle are and .

• Aequal in length, bisect each other
• Bperpendicular, bisect each other
• Cequal in length, perpendicular
• Dnot perpendicular, not equal in length

Q18:

In a rectangle, all angles are angles.

• Aobtuse
• Bright
• Cacute

Q19:

Are the diagonals of a rectangle always perpendicular?

• Ano
• Byes

Q20:

Do the two diagonals of a rectangle or a square bisect each other?

• Ano
• Byes

Q21:

Is the rectangle a parallelogram?

• Ayes
• Bno

Q22:

A rectangle has sides of lengths 15 cm and 19 cm. Find the length of its diagonal.

• A cm
• B cm
• C cm
• D cm
• E cm

Q23:

Can a parallelogram be a rectangle?

• Ayes
• Bno

Q24:

Pick the statement that is true about ALL rectangles.

• AA rectangle is an equilateral polygon.
• BA rectangle is a parallelogram with 4 right angles.
• CA rectangle is a regular quadrilateral.
• DA rectangle is a rhombus with perpendicular sides.
• EA rectangle is a parallelogram with 4 sides equal in length.

Q25:

In a rectangle , which line has the same length as ?

• A
• B
• C