Properties and Measurements of Squares

The video tutorial explores the properties of a square, highlighting its congruent sides and angles. It explains that all four sides and angles of a square are equal, with each angle measuring 90 degrees. The video also discusses the properties of diagonals in a square, noting that they bisect each other and form four congruent isosceles right triangles. The tutorial further demonstrates how to calculate the length of the diagonals using the side length and the properties of a 45-45-90 triangle.

What is a defining property of a square regarding its sides?

• Only adjacent sides are equal.

• All sides are congruent.

• Only opposite sides are equal.

• All sides are different lengths.

How many degrees is each angle in a square?

• 180 degrees

• 120 degrees

• 90 degrees

• 60 degrees

What is the total sum of all angles in a quadrilateral?

• 360 degrees

• 180 degrees

• 270 degrees

• 450 degrees

What is true about the diagonals of a square?

• They are parallel.

• They bisect each other.

• They form obtuse angles.

• They are not equal.

What type of triangles are formed by the diagonals of a square?

• Acute triangles

• Equilateral triangles

• Scalene triangles

• Isosceles right triangles

What is the relationship between the diagonals and the sides of a square?

• Diagonals are half the length of the sides.

• Diagonals are equal to the sides.

• Diagonals are shorter than the sides.

• Diagonals are longer than the sides.

How can you calculate the length of a diagonal in a square with side length 5?

• Multiply by 3

• Multiply by the square root of 2

• Multiply by the square root of 3

• Multiply by 2

What is the length of the diagonal in a square with side length 5?

• 10√2

• 10

• 5√2

• 5