Bisectors of a Triangle
Midsegments of a Triangle
Centers of a Triangle
Inequalities in Triangles
Vocabulary/Theorems
100
The name of segment AD
What is an angle bisector?
100
E in relation to AC if DE is a midsegment
What is a midpoint?
100
The center of a triangle created by the intersection of the altitudes of a triangle.
What is the orthocenter?
100
The angle measure(s) that are smaller than d (hint: exterior angle inequality)
What is <c, <a?
100
The line, ray, or segment that divides an angle into two equal angles.
What is an angle bisector?
200
The value of MN
What is MN = 7?
200
The two segments that are parallel if DE is a midsegment
What is DE and AC?
200
The name of the center of the triangle and the length of IO
What is incenter; IO=6?
200
The shortest side of △ABC
What is AC?
200
The theorem that states the sum of the interior angles of any triangle is always 180 degrees.
What is the triangle angle sum theorem?
300
The name of segment LO
What is a median?
300
The value of AE if BD = 23
What is AE = 46 ?
300
The coordinates of the centroid of the triangle with the given vertices: J(-1,2), K(5,6), L(5,-2)
What is (3,2)?
300
Inequality comparing AD and DC (hint: hinge theorem)
What is AD < DC ?
300
A line segment connecting the midpoints of two sides of the triangle.
What is the midsegment of a triangle?
400
The measure of <QRS.
What is 52° ?
400
The value of x
What is x = 13 ?
400
The value of QV if V is the centroid and QU=36
What is QV=24?
400
List of the angles of △ABC from smallest to largest
What is <C, <B, <A?
400
The center of a circumscribed circle, created by the intersection of the triangle’s perpendicular bisectors.
What is a circumcenter?
500
The value of WY
What is WY = 27 ?
500
The value of AY when you are given the following: In △XYZ, A is the midpoint of segment XY. CB is a midsegment, and CB is parallel to XY. CB = 5x-3 and XY = 4x+6.
What is AY = 7 ?
500
The coordinates of the circumcenter of the triangle with the given vertices: A(-4,2), B(-4,4), C(-1,2)
What is (-2,3)?
500
The sides of the triangle in order from shortest to largest given the following angle measures: A=36°, B=22°, C=122°
What is AC, BC, AB?
500
The center of the triangle’s inscribed circle, created by the intersection of the triangle’s angle bisectors
What is the incenter?