## J.L. 3 years ago Kathy uses the following steps to construct a perpendicular line through a point C on a line segment. Step 1: From point C, draw two arcs intersecting the line segment in points A and B. Step 2: Using slightly more compass width draw two arcs from point A, one above and the other below the line segment. Step 3: Using the same width of the compass, draw two arcs from point B, above and below the line segment. Step 4: Label the point of intersection of the arcs above the line segment as F and below the line as E. Step 5: Using a compass, join E and F. Part A: Which is the first incorrect st

1. J.L.

Part A: Which is the first incorrect step? Part B: Using complete sentences, explain your answer for Part A. Part C: Explain why a compass works for the construction done by Kathy.

2. Henryblah

Problem is, that is how I would construct perpendicular lines. :/

3. J.L.

same here...there needs to be something wrong though Is it that she drew an arc above the line when she was supposed to do it below?

4. J.L.

|dw:1336341976935:dw| I think it is...

5. Henryblah

I think perpendicular line 'through' a point suggests you need both though

6. Henryblah

Actually you would need both anyway as you wouldn't be able to align your ruler without both points.

7. J.L.

You already have point C above the line segment so there is no need for another point above the line segment. So I think it might be that.

8. J.L.

This is my answer: Part A: The first incorrect step is that she drew an arc above the line segment (Step 2). Part B: Step 2 is the first incorrect step because point C is already above the line segment so there is no need to create another point above the line segment, only below it. Part C: A compass works for the construction because you are able to draw arcs of same lengths from the points created on the line segment.

9. Henryblah

Was there a diagram, as I don't see where it specifies where C is. I assumed it was on the line.

10. J.L.

I'm pretty sure it was above the line...I'm good now thanks

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