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Definition
Vertical Angles are congruent. |
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Congruent Supplements Theorem |
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Definition
If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent |
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Congruent Complements Theorem |
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Definition
If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent. |
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Corresponding Angles Postulate |
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Definition
If a transversal intersects two parallel lines, then the corresponding angles are congruent. |
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Alternate Interior Angles Theorem |
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Definition
If a transversal intersects two parallel lines, then the alternate interior angles are congruent. |
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Alternate Exterior Angles Theorem |
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Definition
If a transversal intersects two parallel lines, then the alternate exterior angles are congruent. |
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Same-side Interior Angles Theorem |
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Definition
If a transversal intersects two parallel lines, then the same-side interior angles are supplementary. |
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Same-side Exterior Angles Theorem |
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Definition
If a transversal intersects two parallel lines, then the same-side exterior angles are supplementary. |
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Term
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Definition
If two lines are drawn in a diagram, then a line that intersects both of them is a _______ |
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Definition
The angles between the two lines on either side of the transversal |
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Definition
The four angles formed that are not interior |
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Definition
2 angles on the same side of the transversal-one interior and one exterior and with different vertices |
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Term
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Definition
If a line is perpendicular to one of two parallel lines, than it is perpendicular to the other. |
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Converse of Corresponding Angles Postulate |
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Definition
If corresponding angles are congruent, then a transversal intersects two parallel lines |
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Definition
All right angles are congruent |
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Term
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Definition
Through any point not on a line, there's exactly one line that can be drawn parallel to the given line |
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Term
Converse of the Alternate Interior Angles Theorem |
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Definition
If the alternate interior angles are congruent, then the lines are parallel |
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Term
Converse of the Same-side Interior Angles Theorem |
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Definition
If the same-side interior angles are supplementary, then the lines are parallel. |
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Converse of the Alternate Exterior Angles Theorem |
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Definition
If the alt. ext. angles are congruent, then the lines are parallel. |
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Term
Converse of the Same-side exterior angles theorem |
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Definition
If the same side ext angles are supp, then the lines are parallel |
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Term
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Definition
Two lines parallel to the same line are parallel to each other |
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Term
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Definition
If two lines are perpendicular to the same line, then the two lines are parallel |
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Definition
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Definition
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Definition
must share vertex, must share one side |
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Definition
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Definition
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Term
Adjacent Complements Theorem |
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Definition
If two adjacent angles have their exterior sides in perpendicular lines, then the angles are complementary |
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Term
Adjacent Supplements Theorem |
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Definition
If two adjacent angles have their exterior sides in opposite rays, then the angles are supplementary |
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