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 using the Segment Addition Postulate for points A, B, and C where B is between A and C.

Back

AB + BC = AC.

Front

If AB = 2x + 3 and BC = x + 4, find AC if AC = 10.

Back

Set up the equation: (2x + 3) + (x + 4) = 10. Solve for x.

Front

What does it mean for a point to be 'between' two other points in geometry?

Back

A point is 'between' two other points if it lies on the line segment connecting them.

Front

If JK = 7 and LJ = 20, how do you find KL?

Back

Use the Segment Addition Postulate: KL = LJ - JK = 20 - 7 = 13.

Front

If GH = 8 and HI = 17, how do you find GI?

Back

Use the Segment Addition Postulate: GI = GH + HI = 8 + 17 = 25.

Front

Write an equation that models the lengths if AB = 3x + 2 and BC = 6, and AC = 2x - 2.

Back

(3x + 2) + 6 = (2x - 2).

Front

What is the first step in solving an equation derived from the Segment Addition Postulate?

Back

Combine like terms and simplify both sides of the equation.

Front

If AB = 4 and AC = 10, what is BC?

Back

BC = AC - AB = 10 - 4 = 6.