Which of the following formulas can you use to find perimeter and area of a polygon on a coordinate plane? Select all that apply.

Select 3 correct answer(s)
Question 10 options:

Pythagorean Theorem

Midpoint Formula

Slope Formula

Distance Formula

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
24 days ago

To find the perimeter and area of a polygon on a coordinate plane, the following formulas are relevant:

1. **Distance Formula**: This is used to calculate the length of each side of the polygon by determining the distance between two points in the coordinate plane. The perimeter is the sum of all these distances.

2. **Pythagorean Theorem**: This can be applied to find the distance between points, particularly in right triangles formed by coordinates.

3. **Midpoint Formula**: While the Midpoint Formula is useful for finding the midpoint of a segment, it is not directly used to calculate perimeter or area.

4. **Slope Formula**: This is used to find the slope of line segments but does not directly help in calculating perimeter or area.

Based on this analysis, the correct answers for finding perimeter and area of a polygon on a coordinate plane are:

- **Distance Formula**
- **Pythagorean Theorem**

(Note: Although the Midpoint Formula is useful in geometry, it is not directly applicable for perimeter and area calculations in a way that the Distance Formula and Pythagorean Theorem are.)