Term
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Definition
| If, in 2 triangles, three side of one are congruent to three side of the other, then the triangles are congruent |
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Term
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Definition
| If, in two triangles, two sides and the included angle of one are congruent to two sides anf the included angle of the other, than the triangles are congruent |
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Term
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Definition
| if, in two triangles, two angles and the included side of one are congruent to two angles and the included side of the other, then the triangles are congruent |
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Term
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Definition
| if, in two triangles, two angles and a non- included side of one one are congruent respectively to two angles and the corresponding non-included side of the other, then the two triangles are congruent |
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Term
| Isosceles Triangle Base angles converse theorem |
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Definition
| if two angles of a trianle are congruent, then the sides oppsite them are congruent |
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Term
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Definition
| if, in two right triangles, the hypotenuse and a leg of one are congruent to the hypotenuse and a leg of the other, then the two triangles and congruent |
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Term
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Definition
| if two sides and the angle opposite the longer or the two sides in one triangle are congruent, respectively, to two side and the corresponding angle in another triangle, then the triangles are congruent |
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Term
| properties of a paralellogram |
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Definition
(a) opposite sides are congruent
(b) opposite angles are congruent
(c) the diagonals intersect at their midpoints |
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Term
| parallelogram symmetry theorem |
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Definition
| every paralellogram has 2- fold rotation symmetry about the intersection of its diagonals |
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Term
| Sufficient conditions for a paralellogram theorem |
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Definition
if if a quadrilateral
(a) one pair of sides is both parallel and congruent, or
(b) both pairs of opposite sides are congruent, or
(c) the diagonals bisect each other, or
(d) both pairs of opposite angles,
then the quadrilateral is a paralellogram |
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Term
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Definition
| in a triangle the measure of an exterior angle is equal to the sim of the measures of the interior angles at the other two verticies of the triangle |
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Term
| exterior angle inequality |
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Definition
| in a triangle, the measure of an esterior angle is greater than the measure of the interior angle at each of the other two verticies |
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Term
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Definition
| if two sides of a triangle are not congruent, then the angles opposite them are not congruent and the larger angle is opposite the longer side |
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Term
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Definition
| if two angles of a triangle are not congruent, then the sides opposite them are not congruent and the longer side is opposite the larger angle |
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Term
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Definition
| if three sides of one triangle are proportional to three sides of a second triangle, then the triangles are similar |
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Term
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Definition
| if two angles of one tirangle are congruent to two triangles of another, then the triangles are similar |
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Term
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Definition
| in in two triangles, the ratios of two pairs of corresponding sides are equal adnthe included angles are congruent then the triangles are similar |
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