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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