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Published byAugust Harrell Modified over 9 years ago
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Lines that are coplanar and do not intersect.
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Parallel Lines
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Planes that do not intersect.
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Parallel Planes
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A line that intersects two or more coplanar lines at different points.
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Transversal
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Lines that do not intersect and are not coplanar.
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Skew Lines
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If there is a line and a point not on the line, then there is _______ through the point parallel to the given line.
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exactly one line
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If there is a line and a point not on the line, then there is _______ through the point perpendicular to the given line.
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exactly one line
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Two angles are ___________ if they occupy corresponding positions on the transversal.
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Corresponding angles
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Two angles are _________ if they lie between the two lines on opposite sides of the transversal.
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alternate interior angles
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Two angles are _________ if they lie between the two lines on the same side of the transversal.
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Consecutive interior angles
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Two angles are _________ if they lie outside the two lines on opposite sides of the transversal.
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alternate exterior angles
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If two lines intersect to form a linear pair of congruent angles, then the lines are __________.
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perpendicular
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If two sides of two adjacent acute angles are perpendicular, then the angles are __________.
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Complementary
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If two lines are perpendicular, then they intersect to form ______________________.
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four right angles
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Vertical Angles are ____________.
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Congruent
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If two parallel lines are cut by a transversal, then the pairs of ________ are congruent.
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Corresponding angles
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If two parallel lines are cut by a transversal, then the pairs of ________ are congruent.
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alternate interior angles
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If two parallel lines are cut by a transversal, then the pairs of ________ are congruent.
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alternate exterior angles
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If two parallel lines are cut by a transversal, then the pairs of ________ are supplementary.
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Consecutive interior angles
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If two lines are parallel to the same line, then they are ____________ to each other.
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parallel
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In a plane, if two lines are perpendicular to the same line, then they are ______________ to each other.
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parallel
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The ratio of the vertical change (the rise) to the horizontal change (the run) of a non- vertical line.
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slope
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In a coordinate plane, two non- vertical lines are parallel if and only if they have the same ________.
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slope
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All vertical lines are __________ and have a slope that is _______________.
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Parallel, undefined
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The equation of a line in slope intercept form
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y = mx + b
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Vertical and horizontal lines are ____________________.
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perpendicular
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In a coordinate plane, two non- vertical lines are perpendicular if and only if the product of their slopes is ______.
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If a transversal is perpendicular to one of two parallel lines, then it is ___________ to the other.
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perpendicular
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