SSG 2.2 The Ruler and Segment Addition Postulates

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 = 7x - 1 and BC = 3x + 11, how do you find the length of AC?

Back

Set up the equation: AB + BC = AC. Substitute the expressions for AB and BC, solve for x, then find AC.

Front

What is the value of AC if AB = 60 and BC = 18?

Back

AC = AB + BC = 60 + 18 = 78.

Front

If GH = 8 and HI = 17, what is the length of GI?

Back

GI = GH + HI = 8 + 17 = 25.

Front

What is the value of x if AB = 3x + 5 and AC = 20?

Back

Set up the equation: AB + BC = AC. Solve for x.

Front

If AB = 2 and BC = 3, what is AC?

Back

AC = AB + BC = 2 + 3 = 5.

Front

What does it mean for point B to be between points A and C?

Back

It means that the distance from A to B plus the distance from B to C equals the distance from A to C.

Front

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

Back

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

Front

How do you solve for x in the equation 5x + 2 = 17?

Back

Subtract 2 from both sides, then divide by 5: x = 3.

Front

What is the formula for finding the length of a segment?

Back

Length of a segment = |x2 - x1|, where x1 and x2 are the endpoints.