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 = 8 and BC = 3, what is AC?

Back

AC = AB + BC = 8 + 3 = 11.

Front

If AC = 22 and AB = 7, what is BC?

Back

BC = AC - AB = 22 - 7 = 15.

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 DF = 9x - 39 and EF = 58, what is the value of x?

Back

9x - 39 = 58; 9x = 97; x = 10.78.

Front

In a diagram, if BC + CD = BD, what does this represent?

Back

This represents the Segment Addition Postulate where B is between C and D.

Front

What does it mean if two segments are congruent?

Back

Two segments are congruent if they have the same length.

Front

If AB = 8 and AC = 22, what is the length of BC?

Back

BC = AC - AB = 22 - 8 = 14.

Front

If the lengths of segments are represented as variables, how can you express the Segment Addition Postulate?

Back

If A, B, and C are points on a line, then AB + BC = AC can be expressed as a + b = c.

Front

What is the relationship between the lengths of segments in a straight line?

Back

The sum of the lengths of the segments that make up the whole segment equals the length of the whole segment.