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Congruency of Triangles
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To show a segment/angle is = to itslef
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HGA2 Ch3

Theroms, Def, Postulates

QuestionAnswer
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.
To show a segment/angle is = to itslef Any segment or angle is congreunt to itself (Reflextive)
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.
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.
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.
CPCTC Corresponding parts of Congruent angles are congruent.
Circles A circle is the set of all points that are a fixed distance froma given center point.
Radii of a Circle All radii of a circle are congruent.
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.
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.
Median If a segment is drawn from any vertex of a triangle to the midpoint of the opp. side, than it is a median.
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) I
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.
Reason when drawing a line two points determine a line.
Scalene A triangle with no sides congruent
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.
Equillateral A triangle with all sides congruent
Equilangular A triangle with all angles congruent
Acute A triangle with all acute angles
Right A triangle wiht one right triangle.
Hypoteneuse The side opposite the right angle is called this.
Legs the sides adjacent to the right angle are called this.
Obtuse A triangle with one obtuse angle.
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.
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.
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.
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.
Created by: DavisJ9
 

 



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