Answered

From beginner to expert, IDNLearn.com has answers for everyone. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

Jestion 7 of 10
P and Q are two points in the plane, the perpendicular bisector of PQ is the
et of all points equidistant from P and Q.
A. True
B. False
SUBMIT

Sagot :

GinnyAnsweridn
Let's address the question step-by-step:

1. Understanding the Perpendicular Bisector:
- A perpendicular bisector of a line segment is a line that divides the segment into two equal parts at a 90-degree angle.
- In our scenario, PQ is the line segment connecting points P and Q.

2. Properties of the Perpendicular Bisector:
- By definition, any point on the perpendicular bisector of a line segment PQ is equidistant from P and Q.
- Equidistant means the distance from any point on the bisector to P is the same as the distance from that point to Q.

3. Application:
- If you pick any point on the perpendicular bisector, and measure the distance to P and the distance to Q, you will find that these distances are equal.
- Conversely, if you find a point that is equidistant from both P and Q, it must lie on the perpendicular bisector of PQ.

4. Conclusion:
- The perpendicular bisector of PQ is indeed the set of all points that are equidistant from P and Q.

Therefore, the statement "the perpendicular bisector of PQ is the set of all points equidistant from P and Q" is:
A. True
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.