Properties and Characteristics of Rhombuses

This video tutorial by Mr. D covers the properties of rhombuses, a type of quadrilateral with four congruent sides. The lesson begins with an introduction to rhombus properties and a quadrilateral flowchart. It then delves into the specific properties of rhombuses, including their relationship to parallelograms and additional unique properties. The video also discusses the role of diagonals and symmetry in rhombuses, providing a comprehensive understanding of these geometric shapes. Example problems are solved to reinforce the concepts, ensuring a thorough grasp of rhombus properties.

What is a defining characteristic of a rhombus?

• All sides are congruent.

• It has one pair of parallel sides.

• It has two pairs of parallel sides.

• It has four right angles.

In the quadrilateral flowchart, where does a rhombus fit?

• It is a type of kite.

• It is a type of parallelogram.

• It is a type of trapezoid.

• It is a type of rectangle.

Which property is shared by both parallelograms and rhombuses?

• Only one pair of sides is parallel.

• Diagonals are perpendicular.

• Opposite sides are parallel.

• All angles are right angles.

What is a unique property of rhombuses not shared with parallelograms?

• Consecutive angles are supplementary.

• Opposite angles are congruent.

• Diagonals bisect each other.

• All sides are congruent.

How can you describe the sides of a rhombus?

• Two sides are longer than the other two.

• All sides are congruent.

• All sides are different lengths.

• Only opposite sides are congruent.

What is true about the diagonals of a rhombus?

• They bisect each other at right angles.

• They are equal in length.

• They do not intersect.

• They are parallel to each other.

How do the diagonals of a rhombus affect its angles?

• They do not affect the angles.

• They bisect opposite angles.

• They make all angles equal.

• They create obtuse angles only.

What does the axis of symmetry in a rhombus indicate?

• The rhombus has no symmetry.

• The rhombus can be folded into two congruent halves.

• The rhombus has no equal sides.

• The rhombus is a square.

If one angle in a rhombus is 51 degrees, what is the measure of the opposite angle?

• 180 degrees

• 129 degrees

• 90 degrees

• 51 degrees

If one side of a rhombus is 19 cm, what is the length of the other sides?

• Cannot be determined

• 9.5 cm

• 38 cm

• 19 cm