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## Making Bisectors of Angles and Lines

#### High School Congruence - HSG-CO.D.12

How to make Bisectors of Angles and Lines? STEPS TO BISECT A LINE SEGMENT - 1. Put the compass on point A and stretch the compass more than half to point B. 2. Draw an arc above the line segment AB and an arc below line segment AB. 3. Place the compass on point B with the same span, and draw arcs above and below the line segment AB. The two sets of arcs should intersect at two locations. 4. Draw a straight line connecting the two points of intersection, which should bisect the line segment AB at point C. This selection of lessons and worksheets help students learn how to bisect both angles and lines. STEPS TO BISECT AN ANGLE: 1. Put the compass on the vertex of the angle, i.e., point B 2. Stretch the compass to the length within the span of angle 3. Draw an arc that crosses the two sides of the rays of the given angle. With that, you get two intersection points with sides of the given angle 4. Put the compass on any of one of these intersection points on the sides. If required, stretch the compass to a length that draws an arc into the interior of the angle. Stay well between the sides of the angle and swing an arc in this interior. 5. Put the compass with the same span on the other intersection point on the side of the angle and draw a similar arc. The two small arcs should be within the interior of the given angle and intersect each other. 6. Connect point B (vertex of angle) to the intersection point of two small arcs.

### Printable Worksheets And Lessons  #### Homework Sheets

It's all about drawing the sector of lines.

• Homework 1 - Using a straightedge, draw a line between the points where the arcs intersect.
• Homework 2 - Time to break out your compass. Place the compass's sharp point on the angle's vertex F.
• Homework 3 - This will create O point. Draw a line between the two points created by the O.

#### Practice Worksheets

Students should have this entirely mastered by the end of this series.

• Practice 1 - Bisect line segment MN.
• Practice 2 - Place the compass 1/2 to 2/3 of the line length.
• Practice 3 - Draw an arch below and above the line. Don’t change the compass width and place the compass on the other point. Draw an opposite arc.

#### Math Skill Quizzes

A mix of bisecting angles and lines.

• Quiz 1 - Adjust the compass to cover about half of a line.
• Quiz 2 - Place the compass on one point where the arc crosses a leg. Draw an arc that is on the interior of the angle.
• Quiz 3 - Grab a ruler and draw a line from the vertex of the angle to the point where the arcs meet.