Question

Which of the following is a step in constructing a circle inscribed in a triangle? (6 points) Use a compass to locate the intersection of the midpoint of each side. Use the perpendicular bisectors to find the center of the circle. Use a compass to locate the intersection of the altitude of each side. Use the angle bisectors to find the center of the circle.

Answer 1

d) Use the angle bisectors to find the center of the circle.

Explanation:

Given that for a triangle a circle inscribed in a triangle is to be drawn.

For a incircle we must have the centre of the circle equidistant from the sides.

Then only the circle will touch all the three sides.

To get a point equidistant from all the three sides we must choose a point which lie on the three angle bisectors of the triangle.

Since angle bisectors are concurrent in a triangle, we can draw any two angle bisectors.

Option d is right