Unit 5.4 Properties of a Rhombus

Front

What is a rhombus?

Back

A rhombus is a type of polygon that is a quadrilateral with all four sides of equal length.

Front

What are the properties of the diagonals of a rhombus?

Back

The diagonals of a rhombus bisect each other at right angles and bisect the opposite angles.

Front

How do the angles of a rhombus relate to each other?

Back

The opposite angles of a rhombus are equal, and the adjacent angles are supplementary (add up to 180 degrees).

Front

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

Back

A rhombus is a special type of parallelogram where all four sides are congruent.

Front

If one angle of a rhombus is 90 degrees, what can be said about the other angles?

Back

If one angle is 90 degrees, all angles in the rhombus are 90 degrees, making it a square.

Front

What is the measure of each angle in a rhombus if one angle measures 62 degrees?

Back

The opposite angle will also measure 62 degrees, and the adjacent angles will each measure 118 degrees.

Front

How do you find the measure of an angle in a rhombus if you know the measure of one angle?

Back

Use the properties of a rhombus: opposite angles are equal, and adjacent angles are supplementary.

Front

What is the formula for the area of a rhombus?

Back

The area of a rhombus can be calculated using the formula: Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Front

What is the significance of the diagonals in a rhombus?

Back

The diagonals of a rhombus not only bisect each other but also bisect the angles of the rhombus.

Front

If the diagonals of a rhombus are 10 cm and 24 cm, what is the area?

Back

Area = (10 * 24) / 2 = 120 cm².