Geometry Ch 4 terms,postulates, theorems
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16 terms
Terms | Definitions |
|---|---|
 congruent polygon | two figures that have the same size and shape such that their vertices can be matched up so corresponding parts ( angles and sides) of the figure are congruent |
| median | a segment that connects the vertex to the midpoint of the opposite side |
| altitude | perpendicular segment vertex to the lines that contains the opposite side |
| perpendicular bisector | a line, ray, or segment that is perpendicular to a side of the triangle at its midpoint |
| distance from a point to a line | the length of the perpendicular segment from the point to the line or plane |
| sss | If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. |
| SAS | If two side and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. |
| ASA | If two angles and the included side of one triangle are congruent to two angles and the include side of another triangle, then the triangles are congruent. |
| Isosceles triangle theorem | If two sides of a triangle are congruent, then the angles opposite those sides are congruent. Corollary 1: An equilateral triangle is also equiangular Corollary 2: An equilateral triangle has three 60 degree angles Corollary 3: The bisector of the vertex angle of an isosceles triangle is perpendicular to the base ate its midpoint |
| 4-2 | If two angles of a triangle are congruent, then the sides opposite those angles are congruent |
| AAS | If two angles and a non-inclulded side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent |
| HL Thereom | If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then triangles are congruent |
| 4-5 | If a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment |
| 4-6 | If a point is equidistant from endpoints of a segment, then the point lies on the perpendicular bisector of the segment |
| 4-7 | If a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle |
| 4-8 | If a point is equidistant form the sides of an angle, then the points lies on the bisector of the angle |
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