How to find the missing value using the diagonals of a rectangle

The video tutorial covers the properties of rectangles, including parallel and congruent sides, right angles, and congruent diagonals. It explains how to use these properties to solve a problem involving the lengths of sides and diagonals. The tutorial demonstrates setting up and solving equations to find unknown values, emphasizing the importance of understanding geometric properties and their applications.

What is a key property of the opposite sides of a rectangle?

• They are perpendicular.

• They are parallel.

• They are curved.

• They are shorter than the adjacent sides.

In the given problem, what is the expression for the distance DE?

• 3X + 5

• 6X - 7

• 4X + 9

• 5X - 15

What is a unique property of the diagonals in a rectangle?

• They are perpendicular.

• They are congruent.

• They are shorter than the sides.

• They are parallel.

What additional property do diagonals of a parallelogram have?

• They are perpendicular.

• They bisect each other.

• They are longer than the sides.

• They are curved.

What is the first step in solving for X in the equation 6X - 7 = 4X + 9?

• Add 7 to both sides.

• Subtract 4X from both sides.

• Multiply both sides by 2.

• Divide both sides by 6.

After finding X, what is the expression used to find the length of DB?

• 4X + 9

• 5X - 15

• 2 * (6X - 7)

• 6X - 7

What is the final calculated length of DB when X = 8?

• 64

• 72

• 96

• 82