Bistectors, Medians, and Alititudes
Inequalitites and Triangles
Indirect Proof
The Triangle Inequality
Inequalities Involving Two Triangels
100
In a triangle, what is located two thirds of the distance from a vertex to the midpoint of the side opposite to the vertex on a median.
a centroid
100
If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its corresponding remote interior angles. State the Theorem.
Exterior Angle Inequality Theorem
100
What is the sum of the lengths of any two sides of a triangle is greater than the length of the third side? (hint: it is a theorem)
triangle inequality theorem
100
Answer: C
200
What is equidistant from the vertices of a triangle?
the circumcenter
200
angle 1 & 2
200
Answer: D
200
Answer: A
300
x=9
300
angle two is 59 degrees
300
Determine where the given measures can be the lengths of the sides of a triangle write yes or no. Explain
5, 15, 10
no; 5 + 10 /> 15
300
Answer: D
400
x=4
400
Angle RPQ is greater then because the angle opposite the longer side has a greater neasure than the angle opposite the shorter side.
400
Answer: B
400
Answer: B
500
500
angle 3
500
Answer: D
500
Answer: B