Chapter 5 Flashcards
How long is a midsegment compared to the sides parallel to?
A midsegment is half the length of the side it’s parallel to
What is the perpendicular bisector theorem?
If a point is on a perpendicular by sector, then it is equidistant from the endpoints
What is the angle bisector theorem?
If a point is on the bisector of an angle, and the point is equidistant from the sides of the angle
What is the circumcenter created by?
Perpendicular bisectors
The circumstance or is equidistant from what in a triangle?
From each vertex
What is a centroid created by?
Medians
A median is created by a vertex connected to what?
The midpoint of the opposite side
What is the incenter created by?
Angle bisectors
The end center is equidistant from each what in the triangle?
Side
What creates the orthocenter?
Altitudes
And altitude is created by a vertex connected to the opposite side so that it is what to that side?
Perpendicular
What is the midsegment?
A line that connects to midpoints
What tells you you are dealing with circumcenter?
Right angles and dashes
What tells you you’re dealing with centroid?
Dashes
What tells you you’re dealing with the incenter?
Right angles and equivalent angles
What tells you you’re dealing with the orthocenter?
Right angles
What is the corollary to triangle exterior theorem?
If an angle is an exterior angle than it is greater than the nonadjacent angles
What is the 5.10 theorem?
The longest side of the triangle is opposite to the largest angle
What is the triangle inequality theorem?
If you add any two sides, it should be greater than the third side
What is the hinge theorem?
If the included angle from one triangle to another is bigger than the side opposite, the bigger angle is the larger of the two sides
What tells you you are dealing with circumcenter?
Right angles and dashes
What tells you you’re dealing with centroid?
Dashes
What tells you you’re dealing with the incenter?
Right angles and equivalent angles
What tells you you’re dealing with the orthocenter?
Right angles
