Theroms, Def, Postulates
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| Congruency of Triangles | If 2 triangles are congruent, than all pairs of corespoding parts are congruent.
If all pairs of corresponding parts of 2 triangles are congruent than the triangles are congruent.
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| To show a segment/angle is = to itslef | Any segment or angle is congreunt to itself (Reflextive)
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| SSS | If there exists a correspomdance between the vertesies of 2 congruent triangles such that 3 sides of one triangle are congruent to the corresponding sides of the other triangle then the two triangles are congruent.
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| SAS | If there exisits a corespondance between the vertesies of 2 triangles such that two sides and the included angle of one triangle are congreunt to the corresponding parts of the other triangle, than the triangles are congruent.
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| ASA | If there exists a correspondance between the vertisises of 2 triangles such that two angles and the included sides of one triangle are congruent to the corresponding parts of the other triangle, than the triangles are congruent.
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| CPCTC | Corresponding parts of Congruent angles are congruent.
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| Circles | A circle is the set of all points that are a fixed distance froma given center point.
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| Radii of a Circle | All radii of a circle are congruent.
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| Median implies congruent segments or Median. Median implies midpoint | If a segment drawn from any vertex of a triangle to the opposite side is a median (Than it divides the opposite side into 2 congruent segments) (Than the point of intersection is the midpoint of the opp side.
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| Median | If a segment is drawn from any vertex of a triangle to the opposite side divides that side into 2 congruent segs than it is a median.
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| Median | If a segment is drawn from any vertex of a triangle to the midpoint of the opp. side, than it is a median.
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| Altitude | If a Segment drawn from any vertex of a triangle to the opposite side is an altitude, than it is perpendicular to the opposite side. (Att implies perpendicularity) (Att implies right angles)
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| Alltitude inverse | If a segment is drawn from any vertes of a triangle to the opposite side extended if necessary, than it is an altitude.
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| Reason when drawing a line | two points determine a line.
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| Scalene | A triangle with no sides congruent
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| Isosceles | Atriangle with at leat two sides congruent
The congreunt sides are called the legs and the third is called the base.
The angle opposite the congruents are the base angle.
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| Equillateral | A triangle with all sides congruent
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| Equilangular | A triangle with all angles congruent
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| Acute | A triangle with all acute angles
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| Right | A triangle wiht one right triangle.
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| Hypoteneuse | The side opposite the right angle is called this.
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| Legs | the sides adjacent to the right angle are called this.
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| Obtuse | A triangle with one obtuse angle.
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| Angle Side therome | If two sides of a triangle are congreunt than the angles opposite the sides are congreunt.
If angles of a triangle are congrurent than the sides opposite the angles are congruent.
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| Inverse sidel angle | If two sides of a triangle are not congruent then the angles opposite them are not congruent and the larger angle is opposite the larger side.
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| Inverse side angle | If two angles of a triangle are not congruent then the sides opposite them are not congruent and the larger side os opposite the larger angle.
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| HL | If there exists a corespondance between 2 right angle such that the hypoteneuse and a leg of one triangle are congruent to the cprresponding parts of the other triangle , than the right triangles are congruent.
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