Question

Brandon uses the following steps to construct a perpendicular line through a point C on a line segment. He first draws two arcs from point C intersecting the line segment in points A and B. The next four steps are listed below:

Step 1: Using the same compass width draw two more arcs from point C, one above and the other below the line.
Step 2: Without changing the compass width, draw two arcs from point B above and below the line segment.
Step 3: Label the point of intersection of the arcs above the line segment as M and below the line as N.

Answer 1

Step 4: Using a straightedge, join point M and point N.

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 Brandon.

Answer 2

can someone plz help i have a homework problem

Answer 3

@ganeshie8

Answer 4

how do i do this? there isn't a picture?
i always had pictures for these kinds of problems but now i don't :(

Answer 5

I'm here

Answer 6

do u guys think u can help me?

Answer 7

@littlekitty16

Answer 8

Look at this construction :
http://www.mathopenref.com/constperplinepoint.html

Answer 9

click RUN

Answer 10

ok

Answer 11

i did

Answer 12

good, does that help ?

Answer 13

how would i prove that a step is incorrect

Answer 14

this is the incorrect step :

`Step 1: Using the same compass width draw two more arcs from point C, one above and the other below the line.`

Answer 15

Correct Step 1 :
Increase the compass width to more than half and draw two more arcs from point A, one above and the other below the line.

Answer 16

what am i supposed to put for the compass

Answer 17

what do you think

Answer 18

Compass is a tool for drawing arcs and Straight edge is a tool for drawing segments. He needs to use compass because the construction involved several arcs.

Answer 19

You may add if you want to above ^

Answer 20

i was about to add that comment from above

Answer 21

oh ok

Answer 22

good :)