Question

Ashton is constructing the bisector of MN¯¯¯¯¯¯¯

.What should Ashton do for his first step?


Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is less than 12MN.


Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is greater than 12MN.


Use the straightedge to draw a line that passes through point M.
Use the straightedge to extend MN¯¯¯¯¯¯¯ in both directions.

Answer 1

Place The point of the compass on point M and draw an arc, making sure the width of the compass is greater than 1/2MN.

Answer 2

Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is greater than 1/2MN.

Explanation:

Ashton is constructing the bisector of MN¯¯¯¯¯¯¯

The first step will be :

Place the point of the compass on point M and draw an arc, making sure the width of the compass opening is greater than 1/2MN.

He will make 2 arcs from M, one above the line and one below the line.

Then he will repeat the same with N and draw two arcs above and below the line.

Lastly he will draw a line passing through both the arcs(where both arcs cross).

This line is the bisector.