Math, asked by sravani2765, 11 months ago

costruct an angular bisector for an angle 90 degree and justify your answer​

Answers

Answered by stimilsina076
0

Answer:

tep 1 : Put the sharp end of your compasses at point B and make one arc on the line BC (point S) and another arc on line AB (point T

Step 2 : Put the sharp end of the compasses at S and make an arc within the lines AB and BC. Do the same at T and make sure that the second arc intersects the first arc.

construct angle bisector

Step 3 : Draw a line from point B to the points of intersection of the 2 arcs. This line bisects ∠ABC.

construct angle bisector

The steps to construct an angle bisector can be summarized as follows:

1. From the vertex, draw an arc across both rays of the angle.

2. From each arc intersection draw another pair of arcs that intersect each other.

3. Draw a line from the vertex to the intersection point to form the angle bisector.

 

 

How to draw an angle bisector using a compass and a straight edge?

1. Place compass point on the vertex, and draw an arc across each ray.

2. Place the compass on each arc intersection and draw a further pair of arcs which intersect each other.

3. Use a straight edge to connect the intersection point to the vertex.

Show Step-by-step Solutions

How to bisect a given angle using only a compass and straightedge?

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Use angle bisector to construct angles

We can use the angle bisector to construct some other angles from existing angles.

Example :

A 30˚ angle can be obtained by bisecting a 60˚ angle.

A 15˚ angle can be obtained by bisecting a 30˚ angle.

A 45˚ angle can be obtained by bisecting a 90˚ angle.

A 22.5˚ angle can be obtained by bisecting a 45˚ angle.

Example:

The figure shows a point A on a straight line. Construct an angle of 45˚ at point A.

Solution:

Construct a 90˚ angle, and then construct an angle bisector to obtain a 45˚ angle.

Step-by-step explanation:

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