The corollary to the Triangle Exterior Angle theorem says what about the following picture and its angles?
The bisectors of the angles of a triangle are concurrent at a point equidistant from the ______________ of the triangle.
What type of triangle will have an orthocenter outside of the triangle?
The point of concurrency for the perpendicular bisectors of a triangle.
The perpendicular segment from a vertex of the triangle to the line containing the opposite side.
The point of concurrency of the altitudes.
When considering all possibilities and then determining all but one is false, and the remaining answer is true.
Which of these three statements negate each other: A is parallel to B, A is congruent to B, A is perpendicular to B.
A segment whose endpoints are a vertex and the midpoint of the opposite side.
When three or more lines intersect at one point.
The point of concurrency for the angle bisectors.
The triangle inequality theorem says the sum of the lengths of any two sides of a triangle is _____________ than the length of the third side.
The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the _______________.
Write a negation to the following statement: We did not go to class.
If a point is on the perpendicular bisector of a segment, then it is _____________ from the endpoints of the segment.
The use of indirect reasoning, often where only one statement and its negation are the possible outcomes.
Which theorem says that if two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle?
If triangle ABC has a bisector that runs from B to D, and D is the midpoint of AC, what does this mean for lengths AB and CB?
The point of concurrency of the medians.
True or false: Medians make right angles with the lines they bisect.
The concurrency of medians theorem states that the point of concurrency is exactly __________ the distance from each vertex to the midpoint of the opposite side.
When all three points of a triangle lie on a circle and the circumcenter of the triangle is the center.
If a point is on the bisector of an angle, then the point is ___________ from the sides of the angles.
What is the first step in writing an indirect proof?
What is always true about the altitudes of a triangle, other than that they make right angles?
