5.5 Rhombi

Front

What is a rhombus?

Back

A rhombus is a type of polygon that is a quadrilateral (four sides) with all sides of equal length. Opposite angles are equal, and adjacent angles are supplementary.

Tags

CCSS.3.G.A.1

Front

What is the relationship between the diagonals of a rhombus?

Back

The diagonals of a rhombus bisect each other at right angles (90 degrees) and also bisect the angles of the rhombus.

Tags

CCSS.HSG.CO.C.11

Front

If one angle of a rhombus is 68°, what are the measures of the other angles?

Back

The opposite angle is also 68°, and the other two angles are 112° each, since adjacent angles in a rhombus are supplementary.

Front

In a rhombus, if the length of one diagonal is 52, what is the length of each half of the diagonal?

Back

Each half of the diagonal is 26, since the diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What is the measure of each angle in a square?

Back

Each angle in a square measures 90°.

Tags

CCSS.HSG.C.A.3

Front

How do you find 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

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

Back

Area = (10 * 24) / 2 = 120 cm².

Tags

CCSS.6.G.A.1

Front

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

Back

The sum of the interior angles of a rhombus is 360°.

Front

If m∠TEH = 21° in rhombus TECH, what is m∠ECH?

Back

m∠ECH = 138°, since opposite angles are equal and adjacent angles are supplementary.

Front

What is the property of the sides of a rhombus?

Back

All sides of a rhombus are of equal length.

Tags

CCSS.3.G.A.1