5.5 HW - Properties of Rhombuses

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.

Front

What are the properties of a rhombus?

Back

1. All sides are equal in length. 2. Opposite angles are equal. 3. Adjacent angles are supplementary (add up to 180 degrees). 4. The diagonals bisect each other at right angles.

Front

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

Back

To find the measure of an angle in a rhombus, use the properties of the rhombus, such as the fact that opposite angles are equal and adjacent angles are supplementary.

Front

If one angle of a rhombus is 28 degrees, what are the measures of the other angles?

Back

The opposite angle is also 28 degrees, and the adjacent angles are 152 degrees each (180 - 28 = 152).

Front

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

Back

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

Front

If the measure of angle 4 in rhombus ABCD is 32 degrees, what is the measure of angle 2?

Back

Angle 2 is also 32 degrees because opposite angles in a rhombus are equal.

Front

What is the relationship between the diagonals of a rhombus?

Back

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

Front

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

Back

Using the Pythagorean theorem, each side is 13 cm.

Front

How do you solve for x in a rhombus?

Back

Set up an equation based on the properties of the rhombus, such as equal angles or the relationship between sides and angles.

Front

What is the measure of angle 1 if angle 2 is 22 degrees in a rhombus?

Back

Angle 1 is 158 degrees because adjacent angles are supplementary (180 - 22 = 158).