Segment Addition WarmUp

Front

What is the Segment Addition Postulate?

Back

If points A, B, C are collinear with B between A and C, then AB + BC = AC.

Front

If AB = 5 and BC = 4, what is AC?

Back

AC = AB + BC = 5 + 4 = 9.

Front

If AB = 7 and AC = 10, what is BC?

Back

BC = AC - AB = 10 - 7 = 3.

Front

What does it mean for points to be collinear?

Back

Points are collinear if they lie on the same straight line.

Front

If A, B, C are points on a line, and B is between A and C, what can we say about the lengths of segments?

Back

The length of segment AC is equal to the sum of the lengths of segments AB and BC.

Front

If RM = 6 and RS = 3, what is SM?

Back

SM = RM - RS = 6 - 3 = 3.

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 XY = 6, what can we say about the lengths of segments XZ and ZY if Z is between X and Y?

Back

XZ + ZY = XY = 6.

Front

If AB = 8 and BC = 2, what is AC?

Back

AC = AB + BC = 8 + 2 = 10.

Front

What is the relationship between the segments in the equation AB + BC = AC?

Back

It shows that the total length of the segments AB and BC equals the length of segment AC.