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Worksheet: Properties of Rhombi
Q1:
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.
- AB and C
- BA and B
- CB and E
- DB and D
- ED and E
Q2:
If is a rhombus, which line is the perpendicular bisector of ?
- A
- B
- C
- D
Q3:
Are the opposite sides of a rhombus parallel?
- A yes
- B no
Q4:
Do the two diagonals of a rectangle and a rhombus bisect each other?
- Ayes
- Bno
Q5:
Determine whether this statement is true or false: All rhombuses are regular polygons.
- Afalse
- Btrue
Q6:
Which of the following statements is NOT true for ALL rhombuses?
- AIt has 2 pairs of angles equal in measure.
- BIt is an equilateral polygon.
- CIt has 2 pairs of parallel lines.
- DIt is a parallelogram with 4 right angles.
- EIt is a quadrilateral of sides equal in length.
Q7:
Given that is a rhombus with , what is ?
- A
- B
- C
- D
Q8:
Given that is a rhombus with , what is ?
- A
- B
- C
- D
Q9:
is a rhombus. If , find the value of .
Q11:
Determine the measures of and in the rhombus .
- A ,
- B ,
- C ,
- D ,
Q12:
In the given rhombus , and . Find the length of .
Q13:
The figure shows rhombus . Find and the length of .
- A , 29 cm
- B , 14.5 cm
- C , 14.5 cm
- D , 29 cm
Q14:
In the given rhombus , . Find .
Q15:
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
Q16:
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
Q17:
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
Q18:
The figure shows a rhombus. Given that , what are the sizes of the angles at , , , and ?
- A , , , and
- B , , , and
- C , , , and
- D , , , and
Q19:
Is the following statement true or false? In a rhombus, all sides are equal in length.
- Atrue
- Bfalse
Q20:
Are the sides of a rhombus equal in length?
- Ayes
- Bno
Q21:
Are the two diagonals of a rhombus perpendicular?
- Ayes
- Bno
Q22:
Determine whether the following sentence is true or false: A rhombus has only one pair of parallel sides.
- A false
- B true
Q23:
In the rhombus shown, determine , , , and .
- A , , ,
- B , , ,
- C , , ,
- D , , ,
Q24:
Are the angles in a rhombus right angles?
- Ano
- Byes
Q25:
In which of these quadrilaterals are the diagonals perpendicular but not equal in length?
- Asquare
- Btrapezium
- Crectangle
- Drhombus