Geometry 1.5 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

Given points A, B, and C, if AB = 4x + 2 and BC = 2x + 6, and AC = 20, find x.

Back

4x + 2 + 2x + 6 = 20; 6x + 8 = 20; 6x = 12; x = 2.

Front

If BC = 10 and AC = 25, what is AB?

Back

AB = AC - BC = 25 - 10 = 15.

Front

What does it mean for a point to be 'between' two other points in geometry?

Back

A point is 'between' two other points if it lies on the line segment connecting them.

Front

If AB = 2x + 3 and AC = 15, find BC if BC = AC - AB.

Back

BC = 15 - (2x + 3) = 12 - 2x.

Front

If AB = 5 and BC = 7, what is the length of AC?

Back

AC = AB + BC = 5 + 7 = 12.

Front

What is the formula to find the length of a segment given two points A(x1, y1) and B(x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

If AB = 3x + 1, BC = 4x - 2, and AC = 20, find x.

Back

3x + 1 + 4x - 2 = 20; 7x - 1 = 20; 7x = 21; x = 3.

Front

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

Back

The lengths of segments on a straight line can be added together to find the total length.