# Worksheet: Properties of Rhombuses

In this worksheet, we will practice identifying the properties of a rhombus and using them to find unknown angles or lengths.

Q1:

Given that is a rhombus with , what is ?

• A
• B
• C
• D

Q2:

is a rhombus. If , find the value of .

Q3:

In a rhombus , and . Find the value of .

Q4:

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 C
• CB and D
• DB and E
• EA and B

Q5:

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

• A
• B
• C
• D

Q6:

Are the opposite sides of a rhombus parallel?

• AYes
• BNo

Q7:

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

• Ano
• Byes

Q8:

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

• Afalse
• Btrue

Q9:

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

Q10:

Determine the measures of and in the rhombus .

• A ,
• B ,
• C ,
• D ,

Q11:

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

Q12:

The figure shows rhombus . Find and the length of .

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

Q13:

In the given rhombus , . Find .

Q14:

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

Q15:

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

• A26 length units
• B length units
• C length units
• D length units

Q16:

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

Q17:

The figure shows a rhombus. Given that , what are the measures of the angles at , , , and ?

• A , , , and
• B , , , and
• C , , , and
• D , , , and

Q18:

Is the following statement true or false? In a rhombus, all sides are equal in length.

• Atrue
• Bfalse

Q19:

Are the sides of a rhombus equal in length?

• ANo
• BYes

Q20:

Are the two diagonals of a rhombus perpendicular?

• AYes
• BNo

Q21:

Determine whether the following sentence is true or false: A rhombus has only one pair of parallel sides.

• Afalse
• Btrue

Q22:

In the rhombus shown, determine , , , and .

• A , , ,
• B , , ,
• C , , ,
• D , , ,

Q23:

Are the angles in a rhombus right angles?

• ANo
• BYes

Q24:

In which of these quadrilaterals are the diagonals perpendicular but not equal in length?

• Atrapezium
• Bsquare
• Crhombus
• Drectangle

Q25:

A rhombus is a square if its are equal in length.