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 on a line segment, then AB + BC = AC.

Front

If XZ = XY + YZ, what does this imply about the points X, Y, and Z?

Back

It implies that point Y is between points X and Z.

Front

Find a, if XZ = 125, XY = 3a and YZ = 2a.

Back

25

Front

Find a, if XZ = 18, XY = 2a + 5 and YZ = 3a - 7.

Back

4

Front

Find YZ, if XY = 8 and XZ = 24.

Back

16

Front

Find a, if XZ = 5a, XY = 2a and YZ = 12.

Back

4

Front

Find a, if XZ = a + 2, XY = 3a - 7 and YZ = -a + 1.

Back

8

Front

What is the formula to express the length of a segment using the Segment Addition Postulate?

Back

The formula is: Length of segment = Length of part 1 + Length of part 2.

Front

If XY = 2a and YZ = 3a, what is the expression for XZ?

Back

XZ = XY + YZ = 2a + 3a = 5a.

Front

How do you solve for a in the equation XZ = XY + YZ?

Back

Isolate a by substituting the expressions for XY and YZ into the equation and solving for a.