Given the properties of a rectangle determine the value of x

The video tutorial explains how to determine the length of a line segment in a rectangle using the properties of diagonals. It starts by identifying the given lengths and the problem statement, then discusses the properties of rectangle diagonals, which bisect each other. The tutorial proceeds to solve for the variable X using these properties and calculates the length of the line segment US. The process is summarized by emphasizing the use of geometric properties to solve the problem.

What is the expression given for the length of segment UZ?

• X - 21

• X + 21

• 3X - 15

• 2X + 10

What property of the diagonals of a rectangle is used to solve the problem?

• They form right angles

• They bisect each other

• They are equal in length

• They are perpendicular

What is the value of X found in the problem?

• 39

• 21

• 18

• 15

How is the length of US determined after finding X?

• By adding the lengths of UZ and ZS

• By multiplying the lengths of UZ and ZS

• By subtracting the lengths of UZ and ZS

• By dividing the lengths of UZ and ZS

What is the final calculated length of the diagonal US?

• 18

• 78

• 21

• 39