Chapter 3 Flashcards

1
Q

Parallel Lines

A

Coplanar lines that do not intersect.

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2
Q

Intersecting Lines

A

Coplanar lines that have exactly one point in common.

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3
Q

Oblique Lines

A

Intersecting lines that are not perpendicular.

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4
Q

Skew Lines

A

Two lines that do not lie in the same plane.

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5
Q

Theorem 3.1 Transitivity of Parallel Lines

A

If two lines are parallel to the same line, then they are parallel to each other.

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6
Q

Theorem 3.2 Property of Perpendicular Lines

A

If two coplanar lines are perpendicular to the same line, then they are parallel to each other.

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7
Q

Postulate 12

A

If two distinct lines intersect, then their intersection is exactly one point.

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8
Q

Parallel Postulate

A

If there is a line, and a point not on the line, then there is exactly one line through the point parallel to the given line.

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9
Q

Perpendicular Postulate

A

If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

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10
Q

Negation

A

Denial of a statement.

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11
Q

Contrapositive

A

If we have a conditional statement: “If p, then q,” then the contrapositive is written as: ‘If ~q, then ~ p.”

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12
Q

Transversal

A

A line that intersects two or more coplanar lines at different points.

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13
Q

Corresponding Angles

A

Two angles that occupy corresponding positions.

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14
Q

Alternate Interior Angles

A

Two angles that lie between l and m, on opposite sides of t

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15
Q

Alternate Exterior Angles

A

Two angles that lie outside l and m, on opposite sides of t.

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16
Q

Consecutive Interior Angles

A

Two angles that lie between I and m on the same side of t

17
Q

Corresponding Angles Postulate

A

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

18
Q

Alternate Angles Theorem

A

Of two parallel lines are cut by a transversal, then the pairs if alternate interior angles are congruent.

19
Q

Consecutive Interior Angles Theorem

A

If two parallel lines are cut by a transversal; then the pairs if consecutive interior angles are supplementary.

20
Q

Alternate Exterior Angles Theorem

A

If two parallel lines are cut by a transversal,then the pairs of alternate exterior angles are congruent.

21
Q

Perpendicular Transversal Theorem

A

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second.