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15 Cards in this Set
- Front
- Back
Corresponding Angles Postulate (Postulate 3-1)
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If a transversal intersects two parallel lines, then corresponding angles are congruent.
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Alternate Interior Angles Theorem (Theorem 3-1)
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If a transversal intersects two parallel lines, then alternate interior angles are congruent.
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Same-Side Interior Angles Theorem (Theorem 3-2)
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If a transversal intersects two parallel lines, then same –side interior angles are supplementary.
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Alternate Exterior Angles Theorem (Theorem 3-3)
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If a transversal intersects two parallel lines, then alternate exterior angles are congruent.
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Converse of the Corresponding Angles Postulate (Postulate 3-2)
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If two lines and a transversal from corresponding angles that are congruent, then the lines are parallel.
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Converse of the Alternate Interior Angles Theorem (Theorem 3-4)
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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 Theorem (Theorem 3-5)
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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 (Theorem 3-6)
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If two lines and a transversal from alternate exterior angles, then the two lines are parallel.
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Theorem 3-7
If two lines are parallel to the same line, then they are what to each other? |
parallel
If two lines are parallel to the same line, then they are parallel to each other |
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Theorem 3-8
In a plane, if two lines are perpendicular to the same line then they are what to each other? |
parallel
In a plane, if two lines are perpendicular to the same line then they are parallel to each other. |
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Perpendicular Transversal Theorem (Theorem 3-9)
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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 Postulate (Postulate 3-3)
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Through a point not on a line there is one and only one line parallel to the given line.
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Triangle Angle-Sum Theorem (Theorem 3-10)
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The sum of the measures of the angles of a triangle is 180.
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Triangle Exterior Angle Theorem (Theorem 3-11)
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the measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles
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Perpendicular Postulate (Postulate 3-4)
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through a point not on a line, there is one and only one line perpendicular to a given line
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