Term
| Corresponding Angles (Postulate) |
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Definition
| If two parallel lines are cut by a transversal, then corresponding angles are congruent. |
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Term
| Alternate Interior Angles (Theorem) |
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Definition
| If two parallel lines are cut by a transversal, then alternate interior angles are congruent. |
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Term
| Same-side Interior Angles (Theorem) |
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Definition
| If two parallel lines are cut by a transversal, then same-side interior angles are supplementary. |
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Term
| Alternate Exterior Angles (Theorem) |
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Definition
| If two parallel lines are cut by a transversal, then alternate exterior angles are congruent. |
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Term
| Same-side Exterior Angles (Theorem) |
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Definition
| If two parallel lines are cut by a transversal, then same-side exterior angles are supplementary. |
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Term
| Definition of parallel lines |
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Definition
| coplanar lines that do not intersect |
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Term
| Name two kinds of lines that don't intersect |
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Definition
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Term
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Definition
noncoplanar lines
All noncoplanar lines are neither parallel nor intersecting. |
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Term
| Definition of parallel planes |
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Definition
| Planes that don't intersect. |
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Term
| If a line and a plane do not intersect, then ___ |
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Definition
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Term
| Two parallel planes cut by a third plane (Theorem) |
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Definition
| If two parallel planes are cut by a third plane, then the lines of intersection are parallel. |
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Term
| Definition of a transversal |
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Definition
| a line that intersects two or more coplanar lines in different points |
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Term
| Definition of alternate interior angles |
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Definition
| Two nonadjacent interior angles on opposite sides of the transversal |
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Term
| Definition of same-side interior angles |
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Definition
| Two interior angles on the same side of the transversal. |
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Term
| Definition of corresponding angles |
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Definition
| Two angles in corresponding positions relative to the two lines |
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Term
| Definition of alternate exterior angles |
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Definition
| Two exterior angles on opposite sides of the transversal |
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Term
| Definition of same-side exterior angles |
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Definition
| Two exterior angles on the same side of the transversal |
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Term
| Abbreviation of "If two parallel lines are cut by a transversal, then corresponding angles are congruent." |
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Definition
| Parallel lines -> Corresponding Angles are congruent. |
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Term
| Abbreviation of "If two parallel lines are cut by a transversal, then alternate interior angles are congruent." |
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Definition
| Parallel lines -> alt. int. angles are congruent. |
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Term
| Transversal perpendicular to one of two lines (Theorem) |
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Definition
| If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second line. |
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Term
| Abbreviation of "If two parallel lines are cut by a transversal, then same-side interior angles are supplementary." |
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Definition
| parallel lines -> same-side interior angles are supp. |
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Term
| Abbreviation of "If two parallel lines are cut by a transversal, then alternate exterior angles are congruent. |
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Definition
| Parallel lines -> alt. ext. angles are congruent |
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Term
| Abbreviation of "If two parallel lines are cut by a transversal, then same-side exterior angles are supplementary." |
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Definition
| Parallel lines -> Same-side ext. angles are supp. |
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Term
| Corresponding angles (Proving lines are parallel; Theorem and Abbreviation) |
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Definition
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
Corresponding angles are congruent -> parallel lines |
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Term
| Alternate interior angles (Proving lines are parallel; Theorem and Abbreviation) |
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Definition
If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.
Alt. int. angles are congruent -> parallel lines |
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Term
| Same-side interior angles (Proving lines are parallel; Theorem and Abbreviation) |
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Definition
if two lines are cut by a transversal so that same-side interior angles are supplementary, then the lines are parallel.
Same-side int. angles are supp. -> parallel lines |
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Term
| Alternate exterior angles (Proving lines are parallel; Theorem and Abbreviation) |
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Definition
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.
Alt. ext. angles are congruent -> parallel lines |
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Term
| Same-side exterior angles (Proving lines are parallel; Theorem and Abbreviation) |
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Definition
If two lines are cut by a transversal so that same-side exterior angles are supplementary, then the lines are parallel.
Same-side angles are congruent -> Parallel lines
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Term
| Perpendicular line (Property of Parallel Lines) |
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Definition
| If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second line also. |
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Term
| Perpendicular Lines Theorem (Proving Lines are Parallel) |
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Definition
| In a plane, two lines perpendicular to the same line are parallel |
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Term
| "Exactly 1 Line perpendicular to a given line" Theorem |
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Definition
| Through a point outside a line, there is exactly one line perpendicular to the given line |
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Term
| "Exactly one line parallel to the given line" Theorem |
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Definition
| Through a point outside a line, there is exactly one line parallel to the given line. |
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Term
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Definition
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