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HGA2 Ch3
Theroms, Def, Postulates
| Question | Answer |
|---|---|
| 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