Segment Addition Postulate

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 DF = 9x - 39 and EF = 58, what is the value of x?

Back

x = 11.

Front

Write an equation to relate the lengths: DF = 9x - 39 and EF = 58.

Back

9x - 39 = 58.

Front

If XY = 6, what is the value of XY?

Back

XY = 6.

Front

Write an equation that models the lengths: 2x + 20 + 9 = x + 21.

Back

This equation represents the relationship between the segments.

Front

Find KL if KL = 6.

Back

KL = 6.

Front

What does it mean for a point to be between two other points on a line segment?

Back

A point is between two other points if it divides the segment into two smaller segments.

Front

If AB + BC = AC, what can you conclude about points A, B, and C?

Back

Point B lies between points A and C.

Front

How do you solve for x in the equation 2x + 22 = 12?

Back

Subtract 22 from both sides and then divide by 2.

Front

What is the first step in solving the equation 9 + x + 21 = 2x + 20?

Back

Combine like terms on both sides.