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

Define a line in geometry.

Back

A line is a straight path that extends infinitely in both directions with no endpoints.

Front

What is the equation to model the lengths of segments AB, BC, and AC if B is between A and C?

Back

AB + BC = AC.

Front

If AB = 2x + 3 and BC = x + 5, what is the equation for AC?

Back

AC = AB + BC = (2x + 3) + (x + 5) = 3x + 8.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

Write an equation for the segments if AB = 4 and BC = 6.

Back

AB + BC = AC; 4 + 6 = AC; AC = 10.

Front

What is a ray in geometry?

Back

A ray is a part of a line that has a fixed starting point and extends infinitely in one direction.

Front

If AB = 3x + 2 and AC = 5x - 4, what is the equation to find x?

Back

Set AB equal to AC: 3x + 2 = 5x - 4.

Front

What is the difference between a line and a line segment?

Back

A line extends infinitely in both directions, while a line segment has two endpoints.

Front

If segment AB is 12 units long and point C is between A and B, what can we say about AC and CB?

Back

AC + CB = 12.