Construct the perpendicular bisector of a segment.
Given:
Construct:
Step 1
Put the compass point on point A and draw a long arc as shown. Be sure the opening is greater than
Why must the compass opening be greater than
If the opening is less than
Step 2
With the same compass setting, put the compass point on point B and draw another long arc. Label the points where the two arcs intersect as X and Y.
Step 3
Draw
Construct the bisector of an angle.
Given:
Construct:
Step 1
Put the compass point on vertex A. Draw an arc that intersects the sides of
Step 2
Put the compass point on point C and draw an arc. With the same compass setting, draw an arc using point B. Be sure the arcs intersect. Label the point where the two arcs intersect as D.
Why must the arcs intersect?
The arcs need to intersect so that you have a point through which to draw a ray.
Step 3
Draw