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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 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
