The mid-segment of a triangle joins the _________ of two sides of a triangle such that it is parallel to the third side of the triangle.
What is the Midpoints.
100
A perpendicular bisector is a special kind of segment, ray, or line that intersects a given segment at a 90 degree angle and _________.
What is passes through the given segment's midpoint.
100
What switches the hypothesis and the conclusion and negates both of the ideas?
What is the contrapositive of a conditional.
100
The point of concurrency is the point that?
What is the point in which concurrent lines meet.
100
The triangle Side Angle Side Inequality Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the ________ side is opposite the larger included angle.
What is longer.
200
The mid-segment of a triangle joins the midpoints of two sides of a triangle such that its length is ____ ___ ______ __ ___ _____ ____ of the triangle.
What is the half the length of the third side.
200
If a point lies on the perpendicular bisector of a segment, then it is equidistant from the _________ of the segment.
What is the endpoints.
200
What negates both the hypothesis and the conclusion?
What is the inverse of a conditional.
200
If the sides of the vertices of the triangle touch the inside walls of the circle, this is called a?
What is a circumscribed triangle.
200
What is the triangle inequality theorem?
What is The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
300
The length of AB, given that DE is the mid-segment, is equal to 7, and AB is triangle side parallel to DE.
What is 14.
300
The perpendicular bisectors of the sides of a triangle intersect at a point called the ____________ of the triangle.
What is the circumcenter.
300
What is an indirect proof?
What is the solving of a proof involving indirect reasoning.
300
What does it mean for a triangle to be inscribed?
What is when the circle is inside the triangle and its sides touch the inside of the triangle.
300
The exterior angle inequality theorem states that the measure of an exterior angle of a triangle is _______ than the measure of either of its remote interior angles.
What is greater.
400
Given that DE = 8, DF = 7, and FE = 6 and are the lengths of the mid-segments. Find the perimeter of triangle ABC.
What is 42.
400
The angle bisector theorem states that if a point lies on the bisector of an angle, then it is ____________ from the sides of the angle.
What is equidistant.
400
If all possibilities are considered and then all but one are proved are false, showing the remaining possibility must be true, what is this an example of?
What is indirect reasoning.
400
A segment that connects a vertex and the midpoint of the opposite side is?
What is the median of a triangle.
400
Suppose you have a triangle named ABC. AB= 7, and AC = 10. Find the range for the value of BC.
What is 3 < x < 17
500
If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long.
What is the triangle midsegment theorem..
500
The angle bisectors of a triangle intersect at a point called the ________ of the triangle.
What is the incenter.
500
What are equivalent statements?
What is the contrapositive of a conditional always has the same truth value as the conditional.
500
A perpendicular segment from a vertex to the line opposite of that vertex is the?
What is the altitude.
500
The Corollary to the Triangle Exterior Angle Theorem.
What is The measure of the exterior angle of a triangle is greater than the measure of each of its remote interior angles.