Understanding Rectangles

This video tutorial focuses on rectangles, discussing their properties, such as parallel and congruent sides, right angles, and congruent diagonals. It covers formulas for calculating area, perimeter, and diagonal length using the Pythagorean theorem. The video includes example problems to determine segment lengths using given values and equations, demonstrating practical applications of rectangle properties and formulas.

What is a quadrilateral?

• A six-sided polygon

• A four-sided polygon

• A three-sided polygon

• A five-sided polygon

Which of the following is true about the sides of a rectangle?

• Adjacent sides are equal

• Opposite sides are parallel and congruent

• All sides are different

• All sides are equal

What is the measure of each angle in a rectangle?

• 90 degrees

• 60 degrees

• 45 degrees

• 120 degrees

Which property is true about the diagonals of a rectangle?

• They are perpendicular

• They are congruent

• They do not bisect each other

• They are not equal

How do you calculate the area of a rectangle?

• Length + Width

• Length x Width

• Length / Width

• 2 x (Length + Width)

What formula can be used to calculate the length of the diagonal of a rectangle?

• c^2 = a^2 - b^2

• c^2 = a^2 + b^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

If AE = x^2 + 2 and EC = 3x + 6, what is the value of BD when x = 4?

• 18

• 24

• 12

• 36

Given AE = x^2 + 2 and EC = 3x + 6, what is the value of BD when x = -1?

• 3

• 6

• 12

• 9

If a rectangle has an area of 40 and a perimeter of 26, what is the length of segment AE?

• 6.717

• 5.717

• 7.717

• 4.717

What is the formula for the perimeter of a rectangle?

• L + W

• L / W

• 2L + 2W

• L x W