A point is ____________ from two objects if it is the same distance from the objects.

equidistant

A point is equidistant from two objects if it is the same distance from the objects.

A point is equidistant from two objects if it is the same distance from the objects.

To determine if a point is equidistant from two objects, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is used to calculate the distance between two points in a two-dimensional space.

Here's how you can use the distance formula to check if a point is equidistant from two objects:

1. Identify the coordinates of the two objects. Let's call them Object A and Object B. Assume both objects are represented by points in a two-dimensional space.

2. Determine the coordinates of the point in question. Let's call it Point P.

3. Use the distance formula to calculate the distance between Point P and Object A. The distance formula is given by:

Distance_AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of Object A are (x1, y1) and the coordinates of Point P are (x2, y2).

4. Repeat step 3 to calculate the distance between Point P and Object B.

5. Compare the two distances. If the distance between Point P and Object A is equal to the distance between Point P and Object B, then Point P is equidistant from the two objects.

By using the distance formula, you can determine if a point is equidistant from two objects.