8.4.2 Properties of rhombi and squares

Front

What is a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length and opposite angles that are equal.

Front

What are the properties of a square?

Back

A square is a quadrilateral with all sides equal, all angles equal to 90 degrees, and diagonals that bisect each other at right angles.

Front

How do you calculate 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 relationship between the diagonals of a rhombus?

Back

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

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

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

Back

Area = (10 * 24) / 2 = 120.

Front

What is the measure of each angle in a square?

Back

Each angle in a square measures 90 degrees.

Front

How do you find the length of a side of a square if the area is known?

Back

To find the length of a side of a square, take the square root of the area: Side = √Area.

Front

What is the formula for the perimeter of a rhombus?

Back

The perimeter of a rhombus is given by the formula: Perimeter = 4 * side length.

Front

What is the relationship between the angles of a rhombus?

Back

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