Geometry Unit 6.1 and 6.2

wgat is the centroid to vertex and centroid to side?

centroid to vertex=2x centroid to side=x

what is a midsegment?

connects the midpoints of the sides of a triangle

What is an angle bisector?

divides an angle into 2 congruent angles

What is the incenter of a triangle congruent from?

equidistant from 3 sides

wgat is the circumenter equidistant from?

from the 3 vertices

what is the converse of the perp. bisector theorem?

if a point is equidistant from the endpoints of a segment, then it is on the p bisector of the segment

What is the p. bisector theorem?

if a point is on the p bisector of a segment, then it is equidistant from the endpoints of the segment

what is a midspegment fact?

make 4 congruent triangles

what is the midsegment throerm?

midsegment of a triangle is parallel to the 3rd side, and 1/2 it's length

What is a perpendicular bisector?

perpendicular to the line it bisects

What is the orthocenter?

point of concurrency of the altitudes

What is the incenter of a triangle?

point of concurrency of the angle bisectors

What is the centroid of a triangle?

point of concurrency of the medians of a triangle and balancing point of triangle

What is the circumcenter?

point of concurrency of the perpendicular bisectors

what is an altitude?

segment from a vertex that perpendicular to the opposite side

What is a median?

segment from a vertex to the midpoint of the opposite side

what us the centroid theroem?

vertex to centroid is 2/3 of the whole segment

what is an altitude based on a right or obtuse triangle?

2 will be outside or on the triangle

What is the converse of the angle bisector theorem?

If a point is equidistant from the two sides of an angle, then it is on the bisector of an angle

What is the angle bisector theorem?

If a point is on the bisector of an angle, then it is equidistant from the sides of the angle