How do you use the distance formula to see if the segments on a cordinte plane are congruent?
To determine if two segments on a coordinate plane are congruent using the distance formula, follow these steps:
1. Identify the coordinates of the endpoints of the two segments. Let's say the coordinates of the first segment's endpoints are (x1, y1) and (x2, y2), and the coordinates of the second segment's endpoints are (x3, y3) and (x4, y4).
2. Apply the distance formula to calculate the lengths of both segments. The distance formula is √((x2 - x1)^2 + (y2 - y1)^2). Use this formula to find the length of the first segment, which is the distance between its endpoints. Similarly, use the formula to find the length of the second segment.
3. Compare the lengths of the two segments. If the lengths are equal, then the segments are congruent. If the lengths are different, the segments are not congruent.
Remember to substitute the appropriate coordinate values into the distance formula and perform the necessary calculations to find the lengths of the segments.