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