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25 Terms

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Median

Vertex to midpoint of opposite sides

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Altitude

Vertex to opposite side of the triangle at a 90 degree angle. Shows the height of the triangle

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Perpendicular Bisector

Bisects a side of a triangle (cut it perfectly in half) at a 90 degree angle.

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Angle Bisector

Segment that bisects each vertex (angle) in a triangle (cuts the angle perfectly in half)

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Midsegment

Segment that connects the midpoints of two sides of a triangle. The midsegment is half the side it's parallel to.

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Centroid

Point where all three medians intersect. Divides the medians up into a 2:1 ratio.

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Orthocenter

Point where all three altitudes intersect.

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Circumcenter

Point where all three perpendicular bisectors intersect. Circumcenter is the same distance away from all three vertices.

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Incenter

Point where the three angle bisectors intersect. The incenter is the same distance away from all three sides of a triangle . . . AND forms a 90 degree angle with the sides.

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ASA

Does prove triangle congruency.

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SAS

Does prove triangle congruency

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SSS

Does prove triangle congruency

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AAS

Does prove triangle congruency

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SSA

Does NOT prove triangle congruency

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AAA

Does NOT prove triangle congruency

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How many degrees are in a triangle?

180⁰

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Alternate Interior Angles

Are Congruent

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Alternate Exterior Angles

Are Congruent

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Corresponding Angles

Are Congruent

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Vertical Angles

Are Congruent

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supplementary angles

add to 180 degrees

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Reflexive Property

the property that says that anything is equal to (or congruent to) itself

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Symmetric Property

if a=b, then b=a

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CPCTC

Corresponding Parts of Congruent Triangles are Congruent

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Parallelogram Properties