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| If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular | If two lines are perpendicular, then they intersect to form four right angles |
| If two sides of two adjacent acute angles are perpendicular, then the angles are comlementary. | Through any two points there exists exactly one lline |
| A line contains at least two points | If two lines intersect then they intersection is exactly one point |
| Through any three noncollinear points there exists exactly one plane | A plane consits of at least three noncollinear points |
| If two poitns lie in a plane, then the line containing them lies in the plane | If two planes interesect then their intersection is a line |
| If two angles are supplementary to the same angle (or two congreuent angles) then they are congruent | If two angles are complementary to the same angle, then they are congruent |
| If two angles form a linear pair, then they are supplementaryIf a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other | In a plane, if two lines are perpendicular to th same line then they are parallel to each other |
| The sum of the measures of the interior angles of a triange is 180 degrees | the measure of an exterior angle of a trangle is equal to the sum of the measures of the two nonadjacent interior angles |
| The aucte angles of a right triangle are complementary | If two angles of one riange are congruent to two angles of another triangle then the thrid angles are congreuent |
| If two sides of a triange are congruent, then the angles opposite them are congruent | If two angles of a triangle are congruent, then the sides opposite them are congruent |
| If a triangle is equilaeral, then it is equiangular | If a triangle is equiangular, then it is equilateral |
| The segment connecting the midpoint of 2 sides of a triangle, the midsegment, is parallel to the third side and HALF THE lenght | In a plane, if a poitn is one the perpendicular bisector of a segment then it is equidistant to the end points |
| In a plane, if a poitn is equidistant from the endoitns of segment, then it is on the perpendicular bisector of the segement. | The perpendicular bisectors of a triangle intesect at a point THAT is equidistant FROM THE VERTICES of the triangle |
| If a point is on the biesctor of an angle then it is equidistant from the two sides of the angle | If a point is in the interior of an angle and is equidistant from the sides of the angle, then it lies on the biesctor of the angle |
| The angle bisectors of a triangle intersect at a oitn that is equidistant from the sides of a triangle | The medians of a triangle intersect at a point 2/3 of the distance fromt he verte to the midpoint of the opposite side |
| The lines containing the altitudes of a triange are congruent | In an isoscelecs triangle, the perpendicular bisector, the median, altitude, and angle bisector are allt he same line at the vertex angle |
| If one side of a triangle is longer than another side, than the angle opposte the longer side is larger than the angle opposite the shorter side | If one angle of a tirangle is larger than another angle, then the side opposite the larger angle is longer than the smaller angle |
| the sum of the lengths of any two sides of a triangle is greater than the length of the third side | If two sides of one triangle are congruent to two sdies of another triange and the included angle of the first triangle is larger than the included angle of the second triange,then the thrid side of the FIRST is larger than the thrid side of the SECOND |
| IF TWO SIDES of ONE triange are congrent to two sides of another triange and the thrid side of the FIRST is longer than the thrid side of the second, then the included angle of the first is large than the included angle of the second | (blank) |
