Question

1. decide if there is enough information to conclude that p lies on the perpendicular bisector of qr. which of these statements is correct? no, you need to know the length of pr in order to conclude that p lies on the perpendicular bisector of qr. yes, the distances from the endpoints are the same for both sides of the triangle. every point on the segment is equal distance from the endpoints. no, you need to know the length of qr in order to conclude that p lies on the perpendicular bisector of qr. no, you either need to know that the vertical line is perpendicular to the horizontal line or the measure of diagonal lines of the triangle.

Explanation:

Step1: Recall perpendicular - bisector property

A point lies on the perpendicular bisector of a segment if and only if it is equidistant from the endpoints of the segment.

Step2: Analyze the statements

The correct statement to conclude that a point \(P\) lies on the perpendicular bisector of \(QR\) is that the distances from the endpoints are the same for both sides of the triangle. Every point on the segment is equal distance from the endpoints.

Answer:

Yes, the distances from the endpoints are the same for both sides of the triangle. Every point on the segment is equal distance from the endpoints.