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21 Cards in this Set

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What is the Centroid Theorem?
The centroid of a triangle is located at 2/3 the distance from each vertex to the midpoint of the opposite side. Ex.) AP=2/3AB
What is the Perpendicular Bisector Theorem?
If a point is on the perpendicular bisector of a segment, then it is equidistant to the endpoints of a segment.
What is the Converse of the Perpendicular Bisector Theorem?
If a point is equidistant to the endpoints of a segment, then it is on the perpendicular bisector of the segment.
What is the Angle Bisector Theorem?
If a point is on the bisector of an angle, then that point is equidistant from the sides of the angle.
What is the Converse of the Angle Bisector Theorem?
If a point is equidistant from the sides of an angle, then it is on the angle bisector.
What is the equation for point-slope form?
y-ysub1=m(x-xsub1+)
What is the midpoint formula?
M([xsub1+xsub2]/2,[ysub1+ysub2]/2)
What point of concurrency is found from perpendicular bisectors of triangles?
Circumcenter
What is the Circumcenter Theorem?
The circumcenter of a triangle is equidistant from the vertices of the triangle.
What point of concurrency is found from angle bisectors of triangles?
Incenter
What is the Incenter Theorem?
The incenter of a triangle is equidistant from the sides of a triangle.
Will the circumcenter of a triangle always lie within the triangle?
No
Will the incenter of a triangle always lie within the triangle?
Yes
Which point of concurrency is the center of a triangles inscribed circle?
Incenter
Define the median of a triangle.
A segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side.
What is the altitude of a triangle?
A perpendicular segment from a vertex to a line containing the opposite side
How many altitudes are in a triangle?
3
What is the point of concurrency for altitudes?
Orthocenter
If you know the slope of a line, how could you find the slope of the line perpendicular to it?
The negative reciprocal
What is the midsegment of a triangle?
A segment that joins the midpoints of 2 sides of the triangle.
How many midsegments are in a triangle?
3