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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 not parallel and do not intersect. |
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Parallel Planes |
Planes that do not intersect. |
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Transversal |
A line that intersects two or more coplanar lines at distinct points. |
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Alternate Interior Angles |
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 |
Lie on the same side of the transversal and in similar positions. |
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Alternate Exterior Angles |
Nonadjacent angles that lie on opposite sides of the transversal. |
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Postulate 3-1 |
If a transversal intersects two parallel lines, then same-side interior angles are supplementary. |
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Theorem 3-1 |
If a transversal intersects two parallel lines, then alternate interior angles are congruent. |
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Theorem 3-2 |
If a transversal intersects two parallel lines, then corresponding angles are congruent. |
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Theorem 3-3 |
If a transversal intersects two parallel lines, alternate exterior angles are congruent. |
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Theorem 3-4 |
If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel. |
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Theorem 3-5 |
If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel. |
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Theorem 3-6 |
If two lines and a transversal angles form same-side interior angles that are supplementary, then the two lines are parallel. |
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Theorem 3-7 |
If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel |
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Flow proof |
Arrows that show the logical connection between statements. |
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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, then they are parallel to each other. |
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Theorem 3-10 |
In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to each other. |
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Postulate 3-2 |
Through a point on a line, there is one and only one line parallel to the given line. |
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Theorem 3-11 |
The sum of the angles of a triangle is 180. |
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Auxiliary Line |
A line that you add to a diagram to help explain relationships in proofs. |
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Exterior Angle of a Polygon |
An angle formed by a side and an extension of an adjacent side. |
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Remote Interior Angles |
For each interior angle of a triangle, the two nonadjacent interior angles. |
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Theorem 3-12 |
The measures of each exterior angle of a triangle equals the sum of the measures of its two interior angles. |
