Chapter 5 Review Circles
A median of a triangle is a segment from a vertex to the midpoint of the opposite side
always
A midsegment is parallel to the triangle's third side
always
A point is equidistant from two figures if the point is the same distance from each figure
always
A segment that connects the midpoints of two sides of a triangle is a midsegment
always
If a point is on the bisector of an angle, then it is equidistant from he two sides of the angle
always
In a plane, if a point is on the perpendicular bisector of a segment, then it equidistant from the endpoints of the segment
always
In a triangle, the shortest side lies opposite the smallest angle
always
Indirect proofs begin with negating the conclusion
always
It is possible to construct a triangle with side lengths a, a, and a
always
It is possible to construct a triangle with side lengths of 4, 4, and 6
always
The centroid falls inside the triangle
always
The incenter falls inside the triangle
always
The point of concurrency of the three medians of a triangle is called the centroid
always
The sum of the lengths of any two sides of a triangle is greater than the length of the third side
always
When 3 or more lines, rays, or segments intersect at the same point , they are called concurrent
always
A midsegment is congruent to the triangle's third side
never
A midsegment is perpendicular to the triangle's third side
never
A midsegment is twice as long as the triangle's third side
never
An incenter is the point of concurrency of the three perpendicular bisectors of a triangle
never
Concurrent lines are parallel
never
If a point is on the bisector of an angle, then it is twice the distance from one side than it is from the other
never
If two sides of a triangle are 4 and 14, the third side can lie between 10 and 18 inclusive
never
Indirect proofs begin with negating the hypothesis
never
It is possible to construct a triangle with side lengths 4, 4, and 9
never
It is possible to construct a triangle with side lengths of 2, 2, and 4
never
The centroid falls outside the triangle
never
The hypotenuse is the shortest side of a right triangle
never
The incenter falls outside the triangle
never
The incenter lies on one of the three sides a triangle
never
The leg is the longest side of a right triangle
never
The orthocenter falls inside the triangle
never
It is possible to construct a triangle with side lengths a, a, and a+b
sometimes
The circumcenter falls inside the triangle
sometimes
The circumcenter falls outside the triangle
sometimes
The circumcenter is the point of concurrency of the three perpendicular bisectors of a triangle
sometimes
The orthocenter falls outside the triangle
sometimes
