# Lesson Worksheet: Properties of Rhombuses Mathematics • 11th Grade

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:

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

Q3:

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

• A
• B
• C
• D

Q4:

Are the opposite sides of a rhombus parallel?

• AYes
• BNo

Q5:

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

• ANo
• BYes

Q6:

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

Q8:

Determine the measures of and in the rhombus . • A,
• B,
• C,
• D,

Q9:

The figure shows rhombus . Find and the length of . • A, 29 cm
• B, 29 cm
• C, 14.5 cm
• D, 14.5 cm

Q10:

In the given rhombus , . Find . 