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if a point S lies in the interior of ∠PQR, then ∠PQS + ∠SQR = ∠PQR. |
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two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another |
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the uniqueness of a ray forming a given angle with a given ray |
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transitive property of congruence |
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If a = b and b = c, then a = c |
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When two straight lines intersect at a point, four angles are made. The non-adjacent angles are called vertical |
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corresponding angle theorem |
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When a transversal intersects two parallel lines, the corresponding angles are equal |
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If two parallel lines are cut by transversal, then the pairs of corresponding angles are congruent |
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alternate exterior angle theorem |
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when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent |
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alternate interior angles theorem |
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when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. |
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same side interior angles theorem |
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if a transversal intersects two parallel lines, then same-side interior angles are supplementary |
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supplementary angles theorem |
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two angles that up to 180 degrees |
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two angles that add up to 90 degrees |
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if p=>q is true and p is true, then q must be true |
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