Question

hello this is Madhushree from brainly very strict so those who know how to bisect an angle so explain it step by step​

Answer 1

Answer:

It is very easy here it is..

Step-by-step explanation:

Given: ∠ABC

Construction: bisect ∠ABC.

STEPS:

1. Place compass point on the vertex of the angle (point B).

2. Stretch the compass to any length that will stay ON the angle.

3. Swing an arc so the pencil crosses both sides (rays) of the given angle. You should now have two intersection points with the sides (rays) of the angle.

4. Place the compass point on one of these new intersection points on the sides of the angle.

If needed, stretch the compass to a sufficient length to place your pencil well into the interior of the angle. Stay between the sides (rays) of the angle. Place an arc in this interior (it is not necessary to cross the sides of the angle).

5. Without changing the span on the compass, place the point of the compass on the other intersection point on the side of the angle and make a similar arc. The two small arcs in the interior of the angle should be intersecting.

6. Connect the vertex of the angle (point B) to this intersection of the two small arcs.

You now have two new angles of equal measure, with each being half of the original given angle.

(Refer Image 1)

Proof of Construction: Label the points where the first arc intersects with the sides (rays) of the angle as E and F. The intersection of the two small arcs will be labeled D. Draw edddf. By the construction, BE = BF and ED = FD (radii of the same circles). In addition, BD = BD. All of these equal length segments are also congruent, making ΔBED congruentS ΔBFD by SSS. Since corresponding parts of congruent triangles are congruent, ∠ABD congruent to ∠CBD, showing bd bisects ∠ABC.

(Refer Image2)