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20 Cards in this Set
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Theorem 31:

If two parallel planes are cut by a third plane, then the lines of intersection are parallel.

Theorem 32:

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

Theorem 33:

If two parallel lines are cut by a transversal, then same side interior angles are supplementary.

Theorem 34:

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line as well.

Theorem 35:

If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

Theorem 36:

If two lines are cut by a transversal and same side interior angles are supplementary, then the lines are parallel.

Theorem 37:

In a plane, two lines perpendicular to the same line are parallel.

Theorem 38:

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 39:

Through a point outside of a line, there is one exactly one line perpendicular to the given line.

Theorem 310:

Two lines parallel to a third line are parallel to each other.

Theorem 311:

The sum of the measures of the angles of a triangle are 180 degrees.

Theorem 311 corollary 1:

If two angles of one triangle are congruent to two angles of another, then the third angles are congruent.

Theorem 311 corollary 2:

Each angle of an equiangular triangle has a measure of 60 degrees.

Theorem 311 corollary 3:

In a triangle, there can be at most one right or obtuse angle.

Theorem 311 corollary 4:

The acute angles of a right triangle are complementary.

Theorem 312:

The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles.

Theorem 313:

The sum of the measures of the angles of a convex polygon with n sides is (n2)180.

Theorem 314:

The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360 degrees.
