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22 Cards in this Set
- Front
- Back
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Parallel lines
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Coplanar lines that do not intersect
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Skew Lines
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noncoplanar lines, they are not parallel and do not intersect
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Parallel Planes
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planes that do not intersect
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Transversal
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A line that intersects two or more coplanar lines in different points
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Alternate Interior Angles
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two nonadjacent interior angles on opposite sides of the transversal
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Corresponding Angles
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two angles in corresponding positions relative to the two lines
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Consecutive interior angles
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two interior angles on the same side of the transversal.
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Complete the postulate: If two parallel lines are cut by a transversal...
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then corresponding angles are congruent.
then alternate interior angles are congruent. then alternate exterior angles are congruent. then consecutive interior angles are supplementary |
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Complete the theorem: If a transversal is perpendicular to one of two prallel lines...
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then it is perpendicular to the other one also
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Complete the postulate: If two lines are cut by a transversal and corresponding angles are congruent...
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then the lines are parallel
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Complete the theorem: If two lines are cut by a transversal and alternate interior angles are congruent...
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then the lines are parallel
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Complete the theorem: If two lines are cut by a transversal and same-side interior angles are supplementary...
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then the lines are parallel
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Complete the theorem: If two lines are in a plane and perpendicular to the same line...
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then the lines are parallel
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Complete the theorem: If a point is not on a line...
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then there is exactly one line through the point parallel to the given line
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Complete the theorem: If a point is not on a line...
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then there is exactly one line that passes through the point that is perpendicular to the given line
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Complete the theorem: If two lines are parallel to a third line...
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then they are parallel to each other
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How can you prove two lines are parallel?
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1. Show that a pair of corresponding angles are congruent.
2. Show that a pair of alternate interior angles are congruent. 3. Show that a pair of same-side interior angles are supplementary. 4. In a plane show that both lines are perpendicular to a third line. 5. Show that both lines are parallel to a third line. |
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Slope
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m=y2-y1/x2-x1
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If slopes are =
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lines are parallel
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if slopes are inverse recepricals (1/2 to -2)
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lines are perpendicular
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slope intercept
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y=mx+b
where m is the slope and b is the y-intercept |
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Standard Form
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Ax+By=C
when A and B are not both 0 |
