Does W(2,-1) Lie on UV's Perpendicular Bisector?

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Homework Help Overview

The discussion revolves around determining whether the point W(2,-1) lies on the perpendicular bisector of the line segment defined by the endpoints U(3,5) and V(-3,-1). This falls within the subject area of coordinate geometry, specifically focusing on properties of lines and slopes.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss starting with graphing the points and finding the equation of the line through U and V. There are mentions of calculating the midpoint and slope, as well as transforming the slope to find the perpendicular bisector. Some participants express confusion about the steps involved and seek clarification on the process.

Discussion Status

The discussion is ongoing, with some participants providing guidance on the steps to take, such as finding the midpoint and slopes. However, there is no explicit consensus on the approach, and multiple interpretations of the problem are being explored.

Contextual Notes

One participant expresses a desire for step-by-step assistance, indicating a lack of understanding of the mathematical concepts involved. This highlights the varying levels of familiarity with the topic among participants.

tamilan
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Determine whether the point W(2,-1) lies on the perpendicular bisector of line segment UV, endpoints U(3,5) and V(-3,-1). Explain and justify your answer.


I can't figure it out, if someone could, it would be a pleasure! (it is a grade 10 question)
 
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I probably would start by graphing the information given. Then determine equation for the line going through U and V using the coodinates they gave you. You could find the perpendicular bisector by first finding the midpoint between U and V (see your text for description of finding midpoints) and using the slope of the line thru U and V, transform the slope as I pointed out in your post
 
can you please work out the question for me... i do not understand what your trying to tell me? I am not very good at math either, if u are generous enough to provide the steps, and not the answers - it would help me understand..

ex. Step #1:

Forula: (y2-y1)/2+(x2-x1)/2 *(1,5) and (-1,6)

then i will work out it, then tell me how to step 2 .. this will be very useful.. thank you!
 
And you will have learned nothing except how to plug numbers into a formula that you do not understand!

1. Find the midpoint of the line segment between (3,5) and (-3,-1).
2. Find the slope of the line through the points (3, 5) and (-3,-1)
3. Find the slope of the line through (2,-1) and the point you found in (1).
4. What is the product of those two slopes? How does that tell you whether the lines are perpendicular or not? (Your textbook has information about the slopes of parallel lines and perpendicular lines.)
 

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