Midsegment Theorem
Perpendicular Bisectors
Angle Bisectors
Medians and Altitudes
Indirect proofs
100
What does the midsegment of a triangle connect?
the midpoints of two sides of a the triangle.
100
A point equidistant from the endpoints of a segment is on the ________ of the segment.
perpendicular bisector.
100
If a point is on the bisector of an angle, then it is equidistant from _____________.
the 2 sides of the angle
100
The medians of a triangle intersect at a point that is _______ of the distance from each vertex to the midpoint of the opposite side.
2/3rds
100
State the first step of the following:
Triangle ABC is equilateral.
Triangle ABC is not equilateral.
200
What is the relationship between the slope of a midsegment and the slope of the opposite side?
They are the same.
200
The two lines that run from the perpendicular bisector to the base on opposing sides are valued at 3x+9 and 5x-3. What is the value of x?
x = 6
200
If two angles are separated by the angle bisector and one of the angles is 34 degrees, what is the value of the entire angle?
68 degrees.
200
Define or describe the altitude of a triangle.
What is the perpendicular segment from a vertex to the opposite side.
200
There are less than 15 pounds of apples in the basket
There are more than 15 pounds of apples in the basket
300
How many midsegments does a triangle have?
3
300
The two sides of a triangle split by a perpendicular bisector are stated below
FE= 9x-18 and GE=3x. Find the measure of GE
GE=9
300
State the converse of the angle bisector theorem
If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.
300
Find PM 
6
300
What is step 1 in writing an indirect proof?
State as a temporary assumption the opposite of what you want to prove.
400
Midsegment length: 8x-25
Opposite side length: 13x-150
Find x.
x = 25
400
The perpendicular bisectors of a triangle all meet at what point of concurrency?
the circumcenter
400
Which of the following is not a triangle congruence theorem:
SSS, AAA, ASA, SAS, HL
AAA
400
Find the length of KQ if NQ=12
KQ=8
400
Which two statements contradict each other?
First and Third
500
If the midsegment of a triangle is 3x+3 and its opposite side is 4x+7, what is the value of x?
What is x=1/2?
500
AB = 12
500
Solve for x.
x = 5
500
What is the circumcenter of a triangle with these vertices: A(0,6), B(4,0), C(0,0)
(2,3)
500
Which two statements contradict each other?
First and third