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Worksheet: Properties of Rhombi

Q1:

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.
  • 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:

Which of the following statements about a rhombus is true?

  • AIt is a quadrilateral with only 2 pairs of sides equal in length.
  • BIt is a quadrilateral with 4 pairs of perpendicular sides.
  • CIt is a quadrilateral with 4 angles equal in measure.
  • DIt is a parallelogram with sides of equal length.
  • EIt is a regular polygon.

Q5:

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

  • Ayes
  • Bno

Q6:

Determine whether this statement is true or false: All rhombuses are regular polygons.

  • Afalse
  • Btrue

Q7:

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.

Q8:

Given that is a rhombus with , what is ?

  • A
  • B
  • C
  • D

Q9:

Given that is a rhombus with , what is ?

  • A
  • B
  • C
  • D

Q10:

is a rhombus. If , find the value of .

Q11:

In a rhombus , and . Find the value of .

Q12:

Calculate the perimeter of rhombus , and .

  • A 18 cm,
  • B 18 cm,
  • C 36 cm,
  • D 36 cm,

Q13:

Determine the measures of and in the rhombus .

  • A ,
  • B ,
  • C ,
  • D ,

Q14:

In the given rhombus , and . Find the length of .

Q15:

The figure shows rhombus . Find and the length of .

  • A , 29 cm
  • B , 14.5 cm
  • C , 14.5 cm
  • D , 29 cm

Q16:

In the given rhombus , . Find .

Q17:

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

Q18:

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

Q19:

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