math

• any pair of alternate interior angles are congruent
• any pair of corresponding angles are congruent
• same side exterior angles are supplementary
• any pair of vertical angles are congruent
• interior angles on the same side of the transversal from a linear pair
• linear pair are not congruent
• alternate interior are not supplementary
• same side exterior angles are not congruent
• same side interior angles are supplementary
• through a point not on the line, you can sometimes construct a parallel line
• two lines that are parallel to a third line are parallel
• two lines are parallel if they are coplanar and do not intersect
• through a point outside a line, there is one and only one line parallel to the given line
• the shelves of a bookcase are parallel to each other
• the ceiling and a wall of a room doesn't form a linear pair
• the opposite edges of book are never parallel
• the service lines on a tennis court are parallel to each other
• a line that intersects two skew lines a transversal
• the opposite side of the base of the great pyramid of Giza are always parallel with each other
• Angle-Side Relationship TheoremIf two angles of a triangle are not congruent, then the larger side is opposite the larger angle.If two sides of a triangle are not congruent, then the larger angle is opposite the larger side.
• Triangle Inequality TheoremThe sum of the lengths of any two sides of a triangle is greater than the length of the remaining side.
• Exterior Angle Inequality TheoremThe measure of an exterior angle of a triangle is greater than the measure of either remote interior angle
• Hinge Theorem or SAS Inequality -If two sides of one triangle are congruent to two sides of another triangle, but the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the third side of the second.
• Converse of Hinge Theorem or SSS Inequality Theorem - If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second, then the included angle of the first triangle is larger than the included angle of the second.
• Vertical Angles Theorem - vertical angles formed by intersecting lines are congruent.
• Linear Pair Theorem - two angles that form linear pair are supplementary.
• Corresponding Angles Postulate - If two parallel lines are cut by a transversal then corresponding angles are congruent.
• Alternate Interior Angles Theorem - If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.
• Converse Alternate Interior Angle Theorem - If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines being cut by the transversal are parallel.
• Same-Side Interior of Angles Theorem - If two parallel lines are intersected by a transversal, then same side interior angles are supplementary.
• . Alternate Exterior Angles Theorem - If two parallel lines are intersected by a transversal, then alternate exterior angles are congruent.
• Same-Side Exterior of Angles Theorem - If two parallel lines are intersected by a transversal, then same side exterior angles are supplementary.
• Perpendicular Transversal Theorem - If a parallel line is perpendicular to one line that is parallel to another, then the line is perpendicular to the second parallel line.
• Probability – a chance that - something will happen - how likely it is that some event will happen.
• Experiment is an activity involving chance that can have different results. It is a process that, when performed, results in exactly one of many observations.
• Outcomes - are the results of experiments. If you are flipping a coin, head and tail are the possible outcomes.
• Sample Space is the set of all possible outcomes of an experiment and is denoted by S.
• Sample Point is an individual outcome in the sample space. It one of the possible outcomes.
• Event is a set of some elements or outcomes of an experiment. It is a subset of a sample space. It is not necessary to be the actual outcome of the experiment.