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Exploring the Rhombus

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

What are the properties of a rhombus?

a)

A rhombus has only one pair of equal sides.

b)

The diagonals of a rhombus do not intersect at right angles.

c)

A rhombus has unequal sides and all angles are right angles.

d)

A rhombus has equal sides, opposite angles that are equal, diagonals that bisect each other at right angles, and the diagonals bisect the angles.

2.

How do the diagonals of a rhombus interact?

a)

The diagonals intersect at acute angles and do not bisect each other.

b)

The diagonals are equal in length but do not intersect.

c)

The diagonals intersect at right angles and bisect each other.

d)

The diagonals are parallel and do not intersect.

3.

Is a square a type of rhombus? Why or why not?

a)

Yes, a square is a type of rhombus.

b)

A square is not a rhombus because it has equal angles.

c)

A square cannot be a rhombus since it has four right angles.

d)

A square is a type of rectangle, not a rhombus.

4.

What is the relationship between the angles of a rhombus?

a)

Opposite angles are equal; adjacent angles are supplementary.

b)

All angles are right angles; opposite angles are unequal.

c)

Opposite angles are supplementary; adjacent angles are equal.

d)

All angles are equal; adjacent angles are complementary.

5.

If one angle of a rhombus is 70 degrees, what are the other angles?

a)

The other angles are 90 degrees and 90 degrees.

b)

The other angles are 80 degrees and 80 degrees.

c)

The other angles are 110 degrees and 110 degrees.

d)

The other angles are 60 degrees and 60 degrees.

6.

Can a rhombus have unequal sides? Explain your answer.

a)

No, a rhombus cannot have unequal sides.

b)

A rhombus can have sides of different lengths if it is a special type.

c)

A rhombus can have unequal sides if it is rotated at an angle.

d)

Yes, a rhombus can have one side longer than the others.

7.

What type of quadrilateral is defined by having all sides equal?

a)

Rhombus

b)

Trapezoid

c)

Rectangle

d)

Parallelogram

8.

How do you classify a quadrilateral with two pairs of parallel sides?

a)

Square

b)

Rectangle

c)

Rhombus

d)

Parallelogram

9.

What is the sum of the interior angles of a rhombus?

a)

180 degrees

b)

270 degrees

c)

360 degrees

d)

360 radians

10.

If the diagonals of a rhombus are perpendicular, what can you say about its angles?

a)

The angles of the rhombus are always obtuse.

b)

The angles of the rhombus are all right angles.

c)

The angles of the rhombus are unequal and can only be acute.

d)

The angles of the rhombus are equal and can be acute or obtuse.

11.

How can you prove that a quadrilateral is a rhombus?

a)

A quadrilateral is a rhombus if its area is greater than 20 square units.

b)

A quadrilateral is a rhombus if it has at least one right angle.

c)

A quadrilateral is a rhombus if all four sides are equal in length or if the diagonals bisect each other at right angles.

d)

A quadrilateral is a rhombus if it has two pairs of parallel sides.

12.

What is the relationship between the diagonals and the sides of a rhombus?

a)

The diagonals of a rhombus bisect each other at right angles and are related to the sides through the Pythagorean theorem.

b)

The sides of a rhombus are always perpendicular to each other.

c)

The diagonals of a rhombus are equal in length and do not intersect.

d)

The diagonals of a rhombus are parallel to the sides.