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21 Cards in this Set
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 Back
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 pointslope form?

yysub1=m(xxsub1+)


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
