Triangle: Drawing and Bisection of Line Segment; Construction and Bisection of Angles

 

Welcome to class! 

In today’s class, we will be talking about the triangle: drawing and bisection of a line segment; construction and bisection of angles. Enjoy the class!

Triangle: Drawing and Bisection of Line Segment; Construction and Bisection of Angles

Constructing the Angle Bisectors of a Triangle classnotes.ng

Drawing and bisection of the line segment

  • Bisecting a line segment with a ruler:

Read through the following steps.

Step 1:

Draw line segment AB and determine its midpoint.

con

Step 2:

Draw any line segment through the midpoint.

con

  • Bisecting a line segment with a compass and ruler:

Read through the following steps.

Step 1:

Place the compass on one endpoint of the line segment (point A). Draw an arc above and below the line. (Notice that all the points on the arc above and below the line are the same distance from point A.)

con

Step 2:

Without changing the compass width, place the compass on point B. Draw an arc above and below the line so that the arcs cross the first two. (The two points where the arcs cross are the same distance away from point A and point B.)

con

Step 3:

Use a ruler to join the points where the arcs intersect. This line segment (CD) is the bisector of AB.

con

Construction and bisection of angles

  • Bisecting angles without a protractor:

Read through the following steps.

Step 1:

Place the compass on the vertex of the angle (point B). Draw an arc across each arm of the angle.

con

Step 2:

Place the compass on the point where one arc crosses an arm and draw an arc inside the angle. Without changing the compass width, repeat for the other arm so that the two arcs cross.

con

Step 3:

Use a ruler to join the vertex to the point where the arcs intersect (D).

DB is the bisector of \(\hat{ABC}\).

con

Use your compass and ruler to bisect the angles below.

con

Constructing special angles without a protractor

Read through the following steps.

Step 1:

Draw a line segment (JK). With the compass on point J, draw an arc across JK and up over above point J.

con

Step 2:

Without changing the compass width, move the compass to the point where the arc crosses JK, and draw an arc that crosses the first one.

con

Step 3:

Join point J to the point where the two arcs meet (point P). \(\hat{PJK}\) = 60°

con

 

In our next class, we will be talking about Construction: Construction of Quadrilateral Polygon; Construction of Equilateral Triangle; Locus of Moving Points.  We hope you enjoyed the class.

Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.

For more class notes, homework help, exam practice, download our App HERE

Join ClassNotes.ng Telegram Community for exclusive content and support HERE

1 thought on “Triangle: Drawing and Bisection of Line Segment; Construction and Bisection of Angles”

Leave a Reply

Your email address will not be published. Required fields are marked *

Don`t copy text!