The medians of a triangle go from the ________________ to the midpoint of the opposite side.
The medians of a triangle go from the (Vertex) to the midpoint of the opposite side.
What is the rule for the centroid? The segment from the vertex to the centroid is _____________ the length from the centroid to the ______________.
The segment from the vertex to the centroid is (Twice or two times) the length from the centroid to the (midpoint)
What is the difference between an altitude and a perpendicular bisector?
Altitudes go through the vertex and form a right angle and Perpendicular Bisectors go through the midpoint and form a right angle.
What is an angle bisector?
the line that cuts on of the angles in a triangle into two equal pieces
What is the name of the point where all three medians in a triangle meet?
Centroid
Which segment in the image if the median?
AC
RU = 14.6
Altitude, Perpendicular Bisector, or neither?
Altitude, because it goes from the vertex and forms a right angle.
m < 1 = 48 degrees
What is the point called where all three altitudes meet in a triangle?
orthocenter
Z = 6 so that helps us find RT which is 11
EF = 8.5
Altitude, Perpendicular Bisector, or neither
Perpendicular Bisector, because goes through the midpoint and forms a right angle.
M < 1 = 25 degrees
what is the point called where all three perpendicular bisectors meet?
circumcenter
x = 2 which helps you find < PSR = 72 degrees
Find the length of MP.
MP = 15
Altitude, Perpendicular Bisector, or neither
Altitude, because it goes through the vertex and forms a right angle
< ACB = 62 degrees
What is the point called where all three angle bisectors meet?
incenter
RW = 14
Find the length of NQ.
NQ = 12
Altitude, Perpendicular Bisector, or neither
Altitude, Perpendicular Bisector, or neither
x = 3
What three types of lines intersect at the centroid?
medians