Question

Which angle bisector was created by following the construction steps correctly? How do you know?

Answer 1

Answer:

Here we have the angle with a vertex B

Where B is the vertex of this triangle.

The steps to construct the bisector is:

Put the tip of the compass in the vertex, and draw a curve that intersects both rays of the triangle, the points where the curve intersects the rays of the angle will be called A and C.

Now, with the radius in the compass fixed, place the point in the compass on point A and draw a curve.

Then do the same in point C.

The point where both lines intersect, D, will define the bisector of the angle.

Then the correct option is the second image.

The problem of the first image is that the first step is done wrong because the points A and C were created with different radius in the compass. Then the distance between A and B is different than the distance between B and C.