1.3 - 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 AB = 5 and BC = 3, what is AC?

Back

AC = AB + BC = 5 + 3 = 8.

Front

Write an equation that models the lengths: AB + BC = AC.

Back

The equation is AB + BC = AC.

Front

If JK = 7 and LJ = 20, find KL.

Back

KL = LJ - JK = 20 - 7 = 13.

Front

If AC = 48 and AB = 16, find BC.

Back

BC = AC - AB = 48 - 16 = 32.

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 = 2x + 3 and BC = x + 5, what is the equation for AC?

Back

AC = AB + BC = (2x + 3) + (x + 5) = 3x + 8.

Front

If AC = 30 and AB = 12, what is BC?

Back

BC = AC - AB = 30 - 12 = 18.

Front

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

Back

This equation models the lengths of segments.

Front

If AB = 3x + 2 and AC = 2x - 2, find x when AC = 6.

Back

Set the equation: 3x + 2 = 2x - 2, solve for x.