Question

activity
use geogebra to construct an inscribed circle by going to this activity e. for help, watch these short videos about using geogebra measurement tools e, points, lines, and angles e, and circles e.

part a
create a triangle abc of your choice. using geogebra tools, construct the angle bisectors of ∠a and ∠b. mark the intersection point of the angle bisectors, and label it point d. what does point d represent? explain your reasoning

Explanation:

The in - center of a triangle is the point of intersection of the angle bisectors of the triangle. When we construct the angle bisectors of ∠A and ∠B of triangle ABC and mark their intersection as point D, point D is the in - center of triangle ABC. This is because the in - center is equidistant from all the sides of the triangle, and the angle bisectors of a triangle's angles meet at a single point which has this property of equal distance from the sides.

Answer:

Point D represents the in - center of triangle ABC.