asked 60.0k views
5 votes
Points A, B, and C are collinear. AB = 12, CB = 8, and AC = 4. Which point is between the other 2?

A) Point B
B) Point C
C) Point A
D) It can't be determined

asked
User Antoneil
by
9.0k points

1 Answer

5 votes

Final answer:

By analyzing the distances between the points A, B, and C, where AB equals 12, CB equals 8, and AC equals 4, we deduce that point C must be between A and B since AC + CB equals AB.

Step-by-step explanation:

To determine which point is between the other two, we need to consider the given distances between the points. Given that AB = 12, CB = 8, and AC = 4, we can infer the location of the points relative to each other. In this scenario, it's clear that the sum of AC and CB is equal to AB. This means that when you travel from point A to point C (which is 4 units away), and then from point C to point B (which is an additional 8 units), you have covered the entire distance from A to B, which is 12 units.

Because you can reach point B by traveling from A to C and then to B without backtracking, this proves that point C is between points A and B. Therefore, the correct answer is B) Point C as it is the point that lies between the other two points on the collinear path.

answered
User Tolotra
by
7.9k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.