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 units and BC = 3 units, what is the length of AC?

Back

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

Front

If AC = 48 and AB = 16, what is the length of BC?

Back

BC = AC - AB = 48 - 16 = 32 units.

Front

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

Back

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

Front

What is the formula to find the length of a segment given two endpoints?

Back

Length = |x2 - x1|, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Front

If RT = 36 and RS = 12, what is the length of ST?

Back

ST = RT - RS = 36 - 12 = 24 units.

Front

If AC = 48 and BC = 32, what is the length of AB?

Back

AB = AC - BC = 48 - 32 = 16 units.

Front

What does it mean for points to be collinear?

Back

Collinear points are points that lie on the same straight line.

Front

If AB = 7 and BC = 4, what is the total length of AC?

Back

AC = AB + BC = 7 + 4 = 11 units.

Front

If the length of segment AB is represented as 2x + 3 and the length of segment BC is 5, what is the value of x if AB + BC = 15?

Back

2x + 3 + 5 = 15; 2x + 8 = 15; 2x = 7; x = 3.5.