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If two parallel planes are cut by a third plane, |
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then the lines of intersection are parallel. |
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If two parallel lines are cut by a transversal, then alternate interior (exterior) angles |
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If two parallel lines are cut by a transversal, then same-side interior angles |
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If a transversal is perpendicular to one of two parallel lines, |
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Definition
then it is perpendicular to the other one also. |
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If two lines are cut by a transversal and alternate interior (exterior) angles are congruent, |
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Definition
then the lines are parallel. |
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If two lines are cut by a transversal and same-side supplementary angles are supplementary, |
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Definition
then the lines are parallel. |
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In a plane, two lines perpendicular to the same line |
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Definition
are parallel to each other. |
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Through a point outside a line, |
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Definition
there is exactly one line parallel to the given line. |
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there is exactly one line perpendicular to the given line. |
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Theorem 3.10 (Don't call it this!) |
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Definition
Two lines parallel to a third line are parallel to each other. |
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Theorem 3.11 (Don't call it this!) |
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Definition
The sum of the measures of the angles of a triangle is 180. |
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Corollary 1 to Theorem 3.11 (Don't call it this!) |
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Definition
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. |
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Corollary 2 to Theorem 3.11 (Don't call it this!) |
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Definition
Each angle of an equiangular triangle has measure 60. |
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Corollary 3 to Theorem 3.11 (Don't call it this!) |
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Definition
In a triangle, there can be at most one right angle or obtuse angle. |
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Corollary 4 to Theorem 3.11 (Don't call it this!) |
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Definition
The acute angles of a right triangle are complementary |
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Theorem 3.12 (Don't call it this!) |
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Definition
The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles. |
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Theorem 3.13(Don't call it this!) |
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Definition
The sum of the measures of the angles of a convex polygon with n sides is (n-2)180. |
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Theorem 3.14 (Don't call it this!) |
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Definition
The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex is 360. |
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Postulate 10 (Don't call it this!) |
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Definition
If two parallel lines are cut by a transversal, then corresponding angles are congruent. |
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Postulate 11 (Don't call it this!) |
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If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. |
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Def. of Isosceles Triangle |
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At least two sides congruent. |
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Def. of Equilateral Triangle |
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Definition
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Def. of Equiangular Triangle |
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Definition
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