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26 Cards in this Set
- Front
- Back
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parallel lines |
coplanar lines that do not intersect |
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skew lines |
noncoplanar lines that are nonparallel and do not intersect |
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parallel planes |
planes that do not intersect |
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transversal line
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a line that intersects two or more coplanar lines at distinct points |
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alternate interior angles
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nonadjacent interior angles that lie on opposite sides of the transversal |
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same side interior angles |
interior angles that lie on the same side of the transversal |
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corresponding angles |
angles that lie on the same side of the transversal and are in corresponding positions |
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alternate exterior angles |
nonadjacent exterior angles that lie on the opposite side of the transversal |
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flow proof |
a convincing argument using deductive reasoning where arrows show the logical connection between statements |
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auxiliary line |
a line added to a diagram to help explain relationships in proofs |
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exterior angles of a polygon |
angles formed by a side and an extension of an adjacent side |
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remote interior angles |
interior angles corresponding to each exterior angle of a triangle |
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same side interior angles postulate |
if a transversal intersects two parallel lines then same side interior angles are supplementary |
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alternate interior angles theorem |
if a transversal intersects two parallel lines then alternate interior angles are congruent |
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corresponding angles theorem |
if a transversal intersects two parallel lines then corresponding angles are congruent |
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alternate exterior angles theorem |
if a transversal intersects two parallel lines then alternate exterior angles are congruent |
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converse of corresponding angles theorem |
if two lines and a transversal form corresponding angles that are congruent then the lines are parallel |
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converse of the alternate interior angles theorem |
if two lines and a transversal form alternate interior angles that are congruent then the two lines are parallel |
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converse of the same side interior angles postulate |
if two lines and a transversal form same side interior angles that are supplementary then the two lines are parallel |
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converse of the alternate exterior angles theorem |
if two lines and a transversal form alternate exterior angles that are congruent then the two lines are parallel |
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theorem 3-8 |
if two lines are parallel to the same line then they are parallel to each other |
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theorem 3-9 |
in a plane if two lines are perpendicular to the same line they are parallel to each other |
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perpendicular transversal theorem |
in a plane if a line is perpendicular to one of two parallel lines then it is also perpendicular to the other |
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parallel postualte |
through a point not on a line there is one and only one parallel line to the given line |
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triangle angle sum theorem |
the sum of the measures of the angles of a triangle is 180 |
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triangle exterior angle theorem |
the measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles |
