Exploring the Rhombus

What are the properties of a rhombus?

• A rhombus has only one pair of equal sides.

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

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

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

How do the diagonals of a rhombus interact?

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

• The diagonals are equal in length but do not intersect.

• The diagonals intersect at right angles and bisect each other.

• The diagonals are parallel and do not intersect.

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

• Yes, a square is a type of rhombus.

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

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

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

What is the relationship between the angles of a rhombus?

• Opposite angles are equal; adjacent angles are supplementary.

• All angles are right angles; opposite angles are unequal.

• Opposite angles are supplementary; adjacent angles are equal.

• All angles are equal; adjacent angles are complementary.

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

• The other angles are 90 degrees and 90 degrees.

• The other angles are 80 degrees and 80 degrees.

• The other angles are 110 degrees and 110 degrees.

• The other angles are 60 degrees and 60 degrees.

Can a rhombus have unequal sides? Explain your answer.

• No, a rhombus cannot have unequal sides.

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

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

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

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

• Rhombus

• Trapezoid

• Rectangle

• Parallelogram

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

• Square

• Rectangle

• Rhombus

• Parallelogram

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

• 180 degrees

• 270 degrees

• 360 degrees

• 360 radians

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

• The angles of the rhombus are always obtuse.

• The angles of the rhombus are all right angles.

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

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