Question

Locate the points on the coordinate plane. Choose ALL pairs of points with a distance of 2 units.
Responses

A H and GH and G

B E and FE and F

C E and IE and I

D J and IJ and I

E H and EH

Answer 1

To determine which pairs of points have a distance of 2 units, we need to calculate the distance between the given pairs based on their coordinates. However, since specific coordinates are not provided in your question, I'll describe how to determine the distance between two points and allow you to apply that to the pairs you've listed.

The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) in the coordinate plane can be calculated using the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

To identify the pairs with a distance of 2 units, follow these steps:

1. Identify the coordinates of each pair of points: H, G, E, F, I, J.
2. Use the distance formula to calculate the distance between each specified pair of points.
3. Compare the calculated distance with 2 units.

Since I don't have access to the coordinates, I cannot provide the exact answer. However, use the method outlined above to check each pair of responses:

- **A:** Check distance between H and G.
- **B:** Check distance between E and F.
- **C:** Check distance between E and I.
- **D:** Check distance between J and I.
- **E:** Check distance between H and E.

Select all the pairs that yield a distance of 2 units.