# Worksheet: Properties of Rectangles

Q1:

If , , , and , what values of and make parellelogram a rectangle?

• A ,
• B ,
• C ,
• D ,
• E ,

Q2:

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

Q3:

Are the opposite angles equal in rectangles and parallelograms?

• Ayes
• Bno

Q4:

Are the opposite angles in squares and rectangles equal?

• Ayes
• Bno

Q5:

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

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

Q6:

In the figure below, given that is a rectangle, is a parallelogram, and , find the length of .

Q7:

A rectangle is a special type of parallelogram that has .

• Afour equal sides
• Btwo perpendicular diagonals
• Ca right angle

Q8:

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

Q9:

In rectangle , which side is perpendicular to ?

• A
• B
• C

Q10:

The diagonals of a rectangle are and .

• Aequal in length, perpendicular
• Bperpendicular, bisect each other
• Cnot perpendicular, not equal in length
• Dequal in length, bisect each other

Q11:

Given that is a rectangle, where and , find .

Q12:

In a rectangle, all angles are angles.

• Aacute
• Bobtuse
• Cright

Q13:

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

• Ano
• Byes

Q14:

Are the diagonals of a rectangle always perpendicular?

• Ano
• Byes

Q15:

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

• Ayes
• Bno

Q16:

Are the opposite sides of a rectangle parallel?

• A yes
• B no

Q17:

Does the size of any angle in a rectangle equal ?

• A no
• B yes

Q18:

A square and a rectangle are .

• Acongruent
• Bsimilar
• Cproportional
• Dnot similar

Q19:

In rectangle , which side length is equal to ?

• A
• B
• C

Q20:

The two diagonals of a rectangle are .

• Aperpendicular and equal in length
• Bperpendicular
• Cparallel
• Dequal in length

Q21:

In a rectangle , which line is perpendicular to ?

• A
• B
• C

Q22:

Are the angles in a rectangle right angles?

• Ayes
• Bno

Q23:

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

• Aa rhombus
• Ba trapezium
• Ca rectangle

Q24:

In this rectangle, , , and . Find the value of .

Q25:

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

• Ayes
• Bno