5.4 HW - Properties of Squares

Front

What is the formula to find the length of the diagonal of a square?

Back

The length of the diagonal (d) of a square can be found using the formula: d = a√2, where 'a' is the length of a side.

Front

If the side length of a square is 27, what is the length of the diagonal?

Back

Using the formula d = a√2, the diagonal is 27√2 ≈ 38.2.

Front

What are the properties of the diagonals in a square?

Back

The diagonals of a square bisect the angles, are perpendicular to each other, and are congruent.

Front

What is the measure of each angle in a square?

Back

Each angle in a square measures 90 degrees.

Front

In a square, what is the relationship between the sides and the diagonals?

Back

The diagonals of a square are equal in length and can be calculated using the side length.

Front

Back

Set the equation equal to 90 degrees (since it's a right angle): 11x - 32 = 90. Solving gives x = 11.09.

Front

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

Back

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

Front

How do you calculate the area of a square?

Back

The area (A) of a square is calculated using the formula: A = a^2, where 'a' is the length of a side.

Front

What is the perimeter of a square with side length 10?

Back

The perimeter (P) of a square is calculated using the formula: P = 4a. For a side length of 10, P = 40.

Front

What is the relationship between the sides of a square and its area?

Back

The area of a square increases with the square of the side length.