Rhombus Properties

Front

What are the properties of a rhombus?

Back

A rhombus has four congruent sides, opposite angles that are congruent, adjacent angles that are supplementary, and diagonals that bisect each other at right angles.

Tags

CCSS.3.G.A.1

Front

What is the measure of each angle in a rhombus if one angle is 90 degrees?

Back

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

Front

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

Back

In a rhombus, opposite angles are equal, and adjacent angles are supplementary. If you know one angle, you can find the others using these properties.

Front

What is the relationship between the diagonals of a rhombus?

Back

The diagonals of a rhombus bisect each other at right angles and are not necessarily equal in length.

Tags

CCSS.HSG.CO.C.11

Front

If the diagonals of a rhombus are of lengths 10 and 24, what is the length of each side?

Back

Using the Pythagorean theorem, the length of each side can be calculated as √((10/2)² + (24/2)²) = √(5² + 12²) = √(25 + 144) = √169 = 13.

Tags

CCSS.HSG.CO.C.11

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.

Tags

CCSS.6.G.A.1

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, creating four right triangles.

Tags

CCSS.HSG.CO.C.11

Front

How can you determine if a quadrilateral is a rhombus?

Back

A quadrilateral is a rhombus if it has four congruent sides, or if the diagonals bisect each other at right angles.

Tags

CCSS.3.G.A.1

Front

What is the relationship between the angles of a rhombus?

Back

In a rhombus, opposite angles are congruent, and adjacent angles are supplementary (add up to 180 degrees).

Tags

CCSS.HSG.CO.C.11

Front

If one angle of a rhombus is 60 degrees, what are the measures of the other angles?

Back

If one angle is 60 degrees, the opposite angle is also 60 degrees, and the adjacent angles are each 120 degrees.