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20 Cards in this Set

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Theorem 3-1:
If two parallel planes are cut by a third plane, then the lines of intersection are parallel.
Theorem 3-2:
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Theorem 3-3:
If two parallel lines are cut by a transversal, then same side interior angles are supplementary.
Theorem 3-4:
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line as well.
Theorem 3-5:
If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.
Theorem 3-6:
If two lines are cut by a transversal and same side interior angles are supplementary, then the lines are parallel.
Theorem 3-7:
In a plane, two lines perpendicular to the same line are parallel.
Theorem 3-8:
Through a point outside a line, there is exactly one line parallel to the given line.
Postulate 10:
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Postulate 11:
If two lines are cut by a transversal, and corresponding angles are congruent, then the lines are parallel.
Theorem 3-9:
Through a point outside of a line, there is one exactly one line perpendicular to the given line.
Theorem 3-10:
Two lines parallel to a third line are parallel to each other.
Theorem 3-11:
The sum of the measures of the angles of a triangle are 180 degrees.
Theorem 3-11 corollary 1:
If two angles of one triangle are congruent to two angles of another, then the third angles are congruent.
Theorem 3-11 corollary 2:
Each angle of an equiangular triangle has a measure of 60 degrees.
Theorem 3-11 corollary 3:
In a triangle, there can be at most one right or obtuse angle.
Theorem 3-11 corollary 4:
The acute angles of a right triangle are complementary.
Theorem 3-12:
The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles.
Theorem 3-13:
The sum of the measures of the angles of a convex polygon with n sides is (n-2)180.
Theorem 3-14:
The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360 degrees.