Geometry perpendicular and parallel lines postulates and theorems (chp. 3)
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each of the black spaces below before clicking
on it to display the answer.
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| If two parallel lines are cut by a transversal | then each pair of corresponding angles is congruent
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| If two parallel lines are cut by a transversal | then each pair of alternate interior angles is congruent
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| If two parallel lines are cut by a transversal | then each pair of consecutive interior angles is supplementary
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| If two parallel lines are cut by a transversal | then each pair of alternate exterior angles is congruent
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| In a plane, if a line is perpendicular to one of two parallel lines | then it is perpendicular to the other
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| Two nonvertical lines have the same slope if and only if | they are parallel
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| Two nonvertical lines are perpendicular if and only if | the product of their slopes is -1
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| If two parallel lines are cut by a transversal so that corresponding angles are congruent | then the lines are parallel
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| If there is a line and a point not on the line | then there exists exactly one line through the point that is parallel to the given line
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| If the two lines in a plane are cut by a transversal so that a pair of alternate exterior angles is congruent | then the two lines are parallel
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| If the two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary | then the lines are parallel
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| If the two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent | then the lines are parallel
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| In a plane, if two lines are prependicular to the same line | then they are parallel
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| In a plane, if two lines are prependicular to the same line | then they are parallel
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| In a plane, if two lines are each equidistant from a third line | then the two lines are parallel to each other
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| Coplanar lines that do not intersect are | parallel lines.
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| Point-slope form | An equation of the form y-y1=M(x-x1), where (x1, y1)are the coordinates of any point on the line and "M" is the slope of the line.
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| Lines that do not intersect and are not coplanar are | skew lines.
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| Slope-intercept form | A linear equation of the form Y=MX+B. The graph of such an equation has slope "M" and Y-intercept "B".
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| A line that intersects two or more lines in a plane at different points is a | transversal.
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Created by:
m.meyer
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