# Lesson Worksheet: Properties of Rhombuses Mathematics

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 ? 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:

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:

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:

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?

• Atrapezoid
• Bsquare
• Crhombus
• Drectangle

Q25:

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