Question

fill in the blanks, based on the figure to the right. complete parts a and b

a. point o is the ________

b. og = ______ units.

a. point o is the
angle bisector
incenter
perpendicular bisector
circumcenter

Explanation:

a. The point where the angle bisectors of a triangle meet, and which is equidistant from all sides (as shown by the right-angle marks from O to each side), is the incenter.
b. The distances from the incenter to each side of the triangle are equal. We can see that the distance from O to side HI is 20 units, so OG (the distance from O to side GH) is also 20 units.

Answer:

a. incenter
b. 20