Circumcenter Test

What does circum in circumcenter mean?

about or around

How do you find the circumcenter?

Use the perpendicular bisectors

What is the code Ms. Evans made for us to remember?

All of my children are bringing peanut butter cookies.

What does a perpendicular bisector do?

Cuts a side of the triangle into 2 congruent segments and is perpendicular to that side

What does the circumcenter tell you?

It is equidistant from the vertices

What are the locations of the circumcenter in acute, obtuse, and right triangles?

Acute - Inside, Obtuse - Outside, Right - On the triangle (midpoint of the hypotenuse)

What does the In in Incenter stand for?

Inside the triangle

How do you find the incenter?

Use the angle bisectors

What does the angle bisector do?

It cuts an angle into 2 congruent pieces

What does the incenter tell you?

It is equidistant from the sides of the triangle

What are the locations of the incenter on the acute, obtuse, and right triangles?

Acute - Inside, Obtuse - Inside, Right - Inside

What is the Centroid also known as?

The center of gravity

How do you find the centroid?

Use the medians

What is the centroid formula?

(x1+x2+x3/3 , y1+y2+y3/3)

What does a median do?

Connects a vertex to the midpoint of the side opposite that vertex

What does the centroid tell you?

It is 2/3 of the distance from the vertex to the midpoint of the side opposite that vertex

What is the locations of the centroid on the acute, obtuse, and right triangles?

Acute - Inside, Obtuse - Inside, Right - Inside

Why is the centroid known as the center of gravity?

That is the only point on a triangle where it can balance.

How do you find the orthocenter?

Use the altitudes

What does an altitude do?

(Height) connects a vertex to a line containing the side opposite the vertex and is perpendicular to that side

What are the locations of the orthocenter on a acute, obtuse, and right triangles?

Acute - Inside, Obtuse - Outside, Right - On the triangle (vertex of right angle)

What does the circumcenter, incenter, centroid, and orthocenter, all have in common on an equilateral triangle?

They are all located in the same spot.