Circumcenter
Incenter
Centroid & Orthocenter
Triangle Inequalities
5.1 - 5.2
100
The circumcenter is equidistant from these.
Vertices
100
The incenter is equidistant from these.
The sides of a triangle
100
The median of a triangle is drawn from a vertex to this.
The midpoint of opposite side.
100
List the angles in order from least to greatest.
B, A, C
100
What's the length of the midsegment AB?
17
200
What segments create the circumcenter?
Perpendicular Bisectors
200
The name of the segments that create the incenter.
Angle Bisectors
200
The centroid sometimes/always/never lies outside the triangle.
Never
200
Do these three side lengths form a triangle? Why or why not?
4in, 7in, 11in
No, because the sum of any two sides must be greater than the 3rd side and 4 + 7 is not greater than 11.
200
DE is a midsegment. Find the value of x.
x = 13
300
The circumcenter sometimes/always/never lies outside the triangle.
sometimes
300
The incenter sometimes/always/never lies outside the triangle.
What is NEVER?
300
What's another name for altitude?
Do 3 altitudes make a centroid or orthocenter?
height
orthocenter
300
If a triangle has these angle measures, place the sides in order from shortest to longest.
angleA = x + 10
angleB = 3x - 5
angle C = x
AB, BC, AC
300
Find value of x
x = 7
400
This type of triangle has the circumcenter lying on one of its sides.
Right Triangle
400
If the radius of the inscribed circle is 3 and IB = 5, what is the BF? (F is the point at the right angle.)
BF = 4 (Pythagorean Triple)
400
If AG = 15, what is AD?
AD = 22.5
400
If a triangle has sides of 12in and 3in, what range of values could the 3rd side be?
9<x<15
400
IF PC = 4 and PL = 7, what is LC? Leave your answer in simplest radical form.
LC =
root 65
500
Identify the circumcenter of this right triangle.
(-0.5, 1)
500
If PI = 4x - 5 and RI = 3x + 7, find the value of x and the length of each segment.
x = 12, PI = RI = 43
500
If PV = 3x - 3 and VT = x + 4, what is PT?
PT = 45
(x = 11)
500
Oops! Not inequalities, but identify the angle bisector, perpendicular bisector, median, and altitude.
BG - Angle Bisector (red)
ED - Perpendicular Bisector (green)
BD - Median (blue)
BH - Altitude (purple)
500
Find the perimeter of
triangle JKL
Perimeter = 19 units