Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

If AB = 12 and BC = 16, what is AC?

Back

AC = AB + BC = 12 + 16 = 28.

Front

If XY = 7x, YZ = 5x, and XZ = 6x + 24, how do you find YZ?

Back

Set up the equation: XY + YZ = XZ. Thus, 7x + 5x = 6x + 24. Solve for x to find YZ.

Front

What equation can be used to solve for x in the equation x + 10 + x + 14 = 22?

Back

The equation x + 10 + x + 14 = 22 can be simplified to 2x + 24 = 22.

Front

If point Y is between X and Z, and XY = 7x, YZ = 5x, and XZ = 6x + 24, what is the value of x?

Back

To find x, solve the equation 7x + 5x = 6x + 24, which simplifies to 6x = 24, giving x = 4.

Front

What is the value of YZ if XY = 7x and x = 4?

Back

YZ = 5x = 5(4) = 20.

Front

How do you express the total length of a segment using the Segment Addition Postulate?

Back

The total length of a segment can be expressed as the sum of the lengths of its parts.

Front

What is the first step in solving for x in the equation x + 10 + x + 14 = 22?

Back

Combine like terms to simplify the equation to 2x + 24 = 22.

Front

If AB = 12, what is the length of segment AC if BC = 16?

Back

AC = AB + BC = 12 + 16 = 28.

Front

What does it mean for point Y to be between points X and Z?

Back

It means that the distance from X to Y plus the distance from Y to Z equals the distance from X to Z.