Segment Addition Postulate Practice

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 = 4 and BC = 3x, what is the equation to find AC if AC = 7x - 2?

Back

4 + 3x = 7x - 2.

Front

How do you solve for x in the equation 4 + 3x = 7x - 2?

Back

Rearrange to get 4 + 2 = 7x - 3x, which simplifies to 6 = 4x, so x = 1.5.

Front

If x = 1.5, what is the length of AB if AB = 3x + 4?

Back

AB = 3(1.5) + 4 = 4.5 + 4 = 8.5.

Front

If AB = 8.5 and AC = 7x - 2, what is the length of AC when x = 1.5?

Back

AC = 7(1.5) - 2 = 10.5 - 2 = 8.5.

Front

What is the equation to relate the segments if AB = 8, BC = 2x, and AC = 10?

Back

8 + 2x = 10.

Front

How do you find the value of x in the equation 8 + 2x = 10?

Back

Subtract 8 from both sides to get 2x = 2, then divide by 2 to find x = 1.

Front

If AB = 17, BC = 2x, and AC = 63, what is the equation to find x?

Back

17 + 2x = 63.

Front

How do you solve for x in the equation 17 + 2x = 63?

Back

Subtract 17 from both sides to get 2x = 46, then divide by 2 to find x = 23.

Front

If AB = 11 and BC = 2x + 1, what is the equation if AC = 22?

Back

11 + (2x + 1) = 22.