Fill in the blank
Circumcenter
Incenter
Centroids
Fill in the blank 2.0
100
The incenter of a triangle is equidistant from the _________ of the triangle.
Sides
100
Answer 11 and 12
AG = 25
BD = 20
100
The three ___________ ____________ intersect to create the incenter of a triangle.
angle bisectors
100
The three ______________ of a triangle intersect at the centroid.
medians
100
The _________ of a triangle is drawn from a vertex to the midpoint of the opposite side.
median
200
The circumcenter of a triangle is equidistant from the _________ of the triangle.
vertices
200
Answer 13 and 14
CF = 24
AB = 40
200
Answer 26
ST = 15
200
Answer 31 and 32
DB = 8
EA = 15
200
_____________, _________________, _______________, and _____________ are all of the different types of centers for triangles (that we have learned).
Centroid, circumcenter, orthocenter, incenter
300
The centroid is __________ of the distance from each vertex to the midpoint of the opposite side.
two-thirds
300
Answer 15 and 16
CE = 15
AC = 48
300
Answer 27
x = 8
300
Answer 33 and 34
CG = 12
BA = 16
300
The three _________ ____________ of a triangle intersect at the circumcenter.
perpendicular bisectors
400
Write the formula for the Pythagorean Theorem?
a2 + b2 = c2
400
Answer 17
m<ADG = 90 degrees
400
Answer 28
24 degrees
400
Answer 35 and 36
GE = 5
GD = 6
400
The three ____________ of a triangle intersect at the orthocenter.
altitudes
500
The segments used to create the orthocenter _______________ lie outside the triangle.
(sometimes/always/never)
sometimes
500
Answer 18
x = 20
500
Answer 29
31 degrees
500
Answer 37 and 38
BC = 20
AF = 8
500
___________________ ___ _________ created the Pythagorean theorem.
Pythagoras of Samos