# Worksheet: Properties of Rhombi

Q1:

Choose from the following statements the properties of a rhombus.

1. It has four right angles.
2. It has two pairs of angles equal in measure.
3. It has only one pair of parallel sides.
4. It is a parallelogram of four sides of equal length.
5. It is a parallelogram of four equal angles.
• BB and E
• CB and D
• DB and C
• EA and B

Q2:

If is a rhombus, which line is the perpendicular bisector of ?

• A
• B
• C
• D

Q3:

Are the opposite sides of a rhombus parallel?

• Ayes
• Bno

Q4:

Which of the following statements about a rhombus is true?

• AIt is a regular polygon.
• BIt is a quadrilateral with 4 angles equal in measure.
• CIt is a parallelogram with sides of equal length.
• DIt is a quadrilateral with only 2 pairs of sides equal in length.
• EIt is a quadrilateral with 4 pairs of perpendicular sides.

Q5:

Do the two diagonals of a rectangle and a rhombus bisect each other?

• Ayes
• Bno

Q6:

Determine whether this statement is true or false: All rhombuses are regular polygons.

• Afalse
• Btrue

Q7:

Which of the following statements is NOT true for ALL rhombuses?

• AIt is a quadrilateral of sides equal in length.
• BIt has 2 pairs of parallel lines.
• CIt is a parallelogram with 4 right angles.
• DIt has 2 pairs of angles equal in measure.
• EIt is an equilateral polygon.

Q8:

Given that is a rhombus with , what is ?

• A
• B
• C
• D

Q9:

Given that is a rhombus with , what is ?

• A
• B
• C
• D

Q10:

is a rhombus. If , find the value of .

Q11:

In a rhombus , and . Find the value of .

Q12:

Calculate the perimeter of rhombus , and .

• A36 cm,
• B36 cm,
• C18 cm,
• D18 cm,

Q13:

Determine the measures of and in the rhombus .

• A,
• B,
• C,
• D,

Q14:

In the given rhombus , and . Find the length of .

Q15:

The figure shows rhombus . Find and the length of .

• A, 14.5 cm
• B, 29 cm
• C, 29 cm
• D, 14.5 cm

Q16:

In the given rhombus , . Find .

Q17:

is a quadrilateral. The coordinates of the points , , and are ,, and respectively. Find the coordinates of point if the figure is a rhombus.

• A
• B
• C
• D

Q18:

Determine the perimeter of the rhombus , given that the points and are and .

• A length units
• B length units
• C26 length units
• D length units

Q19:

Given that the points , , , and are vertices of the rhombus , find the coordinates of the point of intersection of its two diagonals.

• A
• B
• C
• D