FAQ: What Is An Angle Bisector In Geometry?

An angle bisector is a line or ray that divides an angle into two congruent angles. In the figure, the ray →KM bisects the angle ∠JKL. Note that any point on the angle bisector is equidistant from the two sides of the angle.

What is angle bisector example?

An angle bisector is a ray that divides an angle into two congruent angles or two angles that have the same measure. For example, in the figure below, ray OB shown in red is an angle bisector and it divides angle AOC into two congruent angles. These two congruent angles are angle AOB and angle COB.

How do you find the angle bisector?

Investigation: Constructing an Angle Bisector Draw an arc that intersects both sides. Move the pointer to the arc intersection with the horizontal side. Make a second arc mark on the interior of the angle. Repeat on the other side.

How do you bisect an angle of 60 degrees?

How do you Bisect a 60 Degree Angle?

  1. Step 1: Draw a line segment of any measurement and name it.
  2. Step 2: With the help of a compass construct an angle = 60°.
  3. Step 3: From point M draw an arc on MN.
  4. Step 4: Bisect ∠GMN with the help of the compass, take any radius which meets line MN and MG at points Q and F.
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How do you bisect an angle with a ruler?

Connect points B and C with a straight line segment using the ruler. Measure a distance halfway between B and C. Denote the point halfway between as D. Draw a straight line segment from A to D, thus bisecting the angle.

How do you construct an angle bisector of 90 degrees?

To construct the bisector of this right angle, draw an arc with centre at R and another arc with centre at V with same radius intersecting each other. Join the intersection point and P. This is the bisector of the right angle.

Which tool is used in constructing bisector of an angle?

Construct an Angle Bisector With a Compass An angle bisector is a line that bisects or divides an angle into two equal halves. To geometrically construct an angle bisector, we would need a ruler, a pencil, and a compass, and a protractor if the measure of the angle is given.

How do you draw a ABC bisector?

Construction: bisect ∠ABC.

  1. STEPS:
  2. Place compass point on the vertex of the angle (point B).
  3. Stretch the compass to any length that will stay ON the angle.
  4. Swing an arc so the pencil crosses both sides (rays) of the given angle.
  5. Place the compass point on one of these new intersection points on the sides of the angle.

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