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 ?
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
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,
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.
- Adiagonals
- Bsides