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### 30 Cards in this Set

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 9-1 Two parallel lines lie in exactly one plane 9-2 In a plane if two lines are perpendicular to the same line, then they are parallel 9-3 Let L be a line and let P be a point not on L. Then there is at least one line through P, parallel to L 9-4 If two lines are cut by a transversal, and one pair of alternate interior angles are congruent, then the other pair of alternate interior angles are also congruent 9-5 Given two lines cut by a transversal. If a pair of alternate interior angles are congruent, then the lines are parallel 9-6 Given two lines cut by a transversal. If a pair of corresponding angles are congruent, then a pair of alternate interior angles are congruent 9-7 Given two lines cut by a transversal. If a pair of corresponding angles are congruent, then the lines are parallel 9-8 Given two lines cut by a transversal. If a pair of interior angles on the same side of the transversal are supplementary, the lines are parallel 9-9 If two parallel lines are cut by a transversal, each pair of corresponding angles are congruent 9-10 In a plane, if a line intersects one of two parallel lines in only one point, then it intersects the other 9-11 In a plane, if two lines are each parallel to a third line, then they are parallel to each other 9-12 In a plane, if a line is perpendicular to one of two parallel lines it is perpendicular to the other 9-13 For every triangle, the sum of the measures of the angles is 180 9-14 Each diagonal separates a parallelogram into two congruent triangles 9-15 In a parallelogram, any two opposite sides are congruent 9-16 In a parallelogram, any two opposite angles are congruent 9-17 In a parallelogram, any two consecutive angles are supplementary 9-18 The diagonals of a parallelogram bisect each other 9-19 Given a quadrilateral in which both pairs of oposite sides are congruent. Then the quadrilateral is a parallelogram 9-20 If two sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram 9-21 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram 9-22 The segment between the mid-points of two sides of a triangle is parallel to the third side and half as long 9-23 If a parallelogram has one right angle, then it has four right angles, and the parallelogram is a rectangle 9-24 In a rhombus, the diagonals are perpendicular to one another 9-25 If the diagonals of a quadrilateral bisect each other and are perpendicular, then the quadrilateral is a rhombus 9-26 The median to the hypotenuse of a right triangle is half as long as the hypotenuse 9-27 30-60-90 Triangle Theorem If an acute angle of a right triangle has measure 30, then the opposite side is half as long as the hypotenuse 9-28 If one leg of a right triangle is half as long as the hypotenuse, then the opposite angle has measure 30 9-29 If three parallel lines intercept congruent segments on one transversal T, then they intercept congruent segments on every transversal T' which is parallel to T 9-30 If three parallel lines intercept congruent segments on one transversal, then they intercept congruent segments on any other transversal