Constructions Bisect Segments Bisect Angles Construction 2 Bisect

Constructions Bisect Segments Bisect Angles

Construction 2 Bisect Segments Step 1 Open the compass past the midpoint of the segment. A B Step 2 Set compass point on an endpoint of the segment. A B

Step 3 Swing arc around across the midpoint of the segment. A B

Step 4 Swing arc around across the midpoint of the segment from the other endpoint. A B

Step 5 Draw a segment through the intersection points of the arcs. A B

The new segment bisects the old segment. A B

A B OBSERVE: The new segment locates the midpoint and draws a perpendicular bisector of the segment.

A B Notice: The arcs form a fish! From now on, we will refer to this process as the FISH

Bisecting Angles

Step 1 Swing compass from the vertex across each side of the angle.

Step 2 Swing the compass from the intersection point created by the new arc across the interior of the angle.

Step 3 Swing the compass from the other intersection point created by the new arc across the interior of the angle.

Step 4 Construct segment connecting the vertex with the intersection of the two small arcs.

Practice. Bisect Obtuse Angle

Step 1 Swing compass from the vertex across each side of the angle.

Step 2 Swing the compass from the intersection point created by the new arc across the interior of the angle.

Step 3 Swing the compass from the other intersection point created by the new arc across the interior of the angle.

Step 4 Construct segment connecting the vertex with the intersection of the two small arcs.

Practice. Bisect Right Angle

Step 1 Swing compass from the vertex across each side of the angle.

Step 2 Swing the compass from the intersection point created by the new arc across the interior of the angle.

Step 3 Swing the compass from the other intersection point created by the new arc across the interior of the angle.

Step 4 Construct segment connecting the vertex with the intersection of the two small arcs.

Summary To construct a perpendicular bisector … we use the fish process. A B

To construct an angle bisector. 1. Swing compass from the vertex across each side of the angle.

To construct an angle bisector. 1. Swing compass from the vertex across each side of the angle. 2. Swing the compass from the intersection point created by the new arc across the interior of the angle.

To construct an angle bisector. 1. Swing compass from the vertex across each side of the angle. 2. Swing the compass from the intersection point created by the new arc across the interior of the angle. 3. Swing the compass from the other intersection point created by the new arc across the interior of the angle.

To construct an angle bisector. 1. Swing compass from the vertex across each side of the angle. 2. Swing the compass from the intersection point created by the new arc across the interior of the angle. 3. Swing the compass from the other intersection point created by the new arc across the interior of the angle. 4. Construct segment connecting the vertex with the intersection of the two smaller arcs.

C’est fini. Good day and good luck. That’s all folks. A Senior Citizen Production