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 = 3 and BC = 5, what is AC?

Back

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

Front

How do you express the lengths of segments in an equation?

Back

You can express the lengths of segments using variables and constants, such as in the equation 2x + 20 + 9 = x + 21.

Front

What is the first step to solve for x in the equation 2x + 20 + 9 = x + 21?

Back

Combine like terms to simplify the equation.

Front

If DF = 9x - 39 and EF = 58, how do you find x?

Back

Set up the equation 9x - 39 = EF, then solve for x.

Front

What does it mean if two segments are equal in length?

Back

If two segments are equal in length, it means their measures are the same, and you can set their expressions equal to each other.

Front

How can you check if your solution for x is correct?

Back

Substitute the value of x back into the original equation to see if both sides are equal.

Front

What is the relationship between segments AB, BC, and AC in the Segment Addition Postulate?

Back

AB + BC = AC, meaning the sum of the lengths of segments AB and BC equals the length of segment AC.

Front

If you have the equation 2x + 20 = 12, how do you isolate x?

Back

Subtract 20 from both sides and then divide by 2 to solve for x.

Front

What is the value of x in the equation 2x + 22 = 12?

Back

x = -5, found by isolating x in the equation.