Two points equidistant from the sides of an angle lie on the bisector. Is this always, sometimes, or never true?
I believe its sometimes because two points can be equidistant but be outside of the angle or equidistant and not touching the midpoint in the center of the angle. Explain your answer please and thank you.
2007-10-30 19:00:04 · 3 answers · asked by Chead 1 in Science & Mathematics ➔ Mathematics
It seems that you don't understand the term "equidistant" In this case, it refers to the distance a SINGLE POINT is away from two different sides of an angle. The distance from the point to one side has to equal the distance from that SAME point to the other side of the angle in order for the point to be "equidistant."
2007-10-30 19:54:07 · answer #1 · answered by nc 3 · 0⤊ 0⤋
As long as each point is equidistant to both sides of the angle, both points lie on the bisector of the angle.
2007-10-30 19:17:46 · answer #2 · answered by Anonymous · 0⤊ 0⤋
It's always true. What you're picturing are 2 points, P and Q, where the distance from P to the nearest side of the angle is equal to the distance from Q to the OTHER side of the angle. What the "equidistant" means is that the distance from P to one side of the angle is equal to the distance from P to the other side of the angle, and the same for Q.
2007-10-30 19:15:17 · answer #3 · answered by Philo 7 · 0⤊ 0⤋