Question

What is the first step in constructing an inscribed circle inside triangle XYZ?

Construct the incenter of triangle XYZ.
Construct the circumcenter of triangle XYZ
Construct the centroid of triangle XYZ.
Construct the orthocenter of triangle XYZ.

Answer 1

We want to construct a circle INSIDE a triangle

https://www.mathsisfun.com/geometry/construct-triangleinscribe.html

You can watch the video but the steps has the word that you're looking for

Steps:
`Bisect one of the angles`
`Bisect another angle`
`Where they cross is the center of the inscribed circle, called the incenter`
`Construct a perpendicular from the center point to one side of the triangle`
`Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!`

Answer 2

What are you constructing by bisecting the angles

what is it called where they cross the center of the inscribed circle?

Answer 3

So we have to Construct the incenter of triangle XYZ.

Answer 4

You got it!

Answer 5

Yessss thanks

Answer 6

No problem!!

So remember- incenter is for getting a CIRCLE inside of a triangle

if you want to get a TRIANGLE inside of a circle, that would be the CIRCUMCENTER