# 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 .

**Q4: **

Choose from the following statements the properties of a rhombus.

- It has four right angles.
- It has two pairs of angles equal in measure.
- It has only one pair of parallel sides.
- It is a parallelogram of four sides of equal length.
- It is a parallelogram of four equal angles.

- AD and E
- 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 ,

**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.

- Adiagonals
- Bsides