Question

Which two points on the number line are opposites?

A number line going from negative 2 to positive 2 in increments of 1. There are 3 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the right of 0. Point D is 2 marks to the right of 1.
points A and B
points B and C
points C and D
points A and D

Answer 1

To determine which two points on the number line are opposites, we first need to identify the numerical values of points A, B, C, and D based on their described positions.

- Point A is 1 mark to the right of -2, so A = -2 + 1 = -1.
- Point B is 1 mark to the right of -1, so B = -1 + 1 = 0.
- Point C is 1 mark to the right of 0, so C = 0 + 1 = 1.
- Point D is 2 marks to the right of 1, so D = 1 + 2 = 3.

Now we have the following values:
- A = -1
- B = 0
- C = 1
- D = 3

Two points are considered opposites if one is the negative of the other. In this case:
- The opposite of -1 (point A) is 1 (point C).

Thus, the two points that are opposites are **points A and C**.

Since this specific pairing isn't in the provided options, we need to reconsider the original problem statement. Let's evaluate:

- Opposite pairs from the options given:
- **Points A and D (-1 and 3)** — are not opposites.
- **Points B and C (0 and 1)** — are not opposites.
- **Points C and D (1 and 3)** — are not opposites.
- **Points A and B (-1 and 0)** — are not opposites.

None of these options present points that are true opposites; rather, it's important to clarify that the description provided was intended for A (-1) and C (1) instead.

However, from the options available in the question, no correct pairs of opposites can be selected.