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20 Cards in this Set

  • Front
  • Back
  • 3rd side (hint)

From a point not on a given line...

there is exactly one line perpendicular to the given line.

Through a point not on a line...

exactly one line is paralle to the given line.

Parallel Postulate

If two paralle lines are cut by a transversal...

Then the pairs of alt. Int. <s are congruent.

If two parallel lines are cut by a transversal...

Then the pairs of corr. <s are congruent.

Postulate

If two parallel lines are cut by a transversal...

Then the pairs of alt. ext. <s are congruent.

If two parallel lines are cut by a transversal...

Then the pairs of int. <s on the same side of the trans. are supp.

If two parallel lines are cut by a transversal...

Then the pairs of ext. <s on the same side of the trans. are supp.

If two lines are cut by a transversal so that two corr. <s are congruent...

Then these lines are parallel.

If two lines are cut by a transversal so that two alt. int./ alt. ext. <s are congruent...

Then these lines are parallel.

If two lines are cut by a transversal so that...

Two int. <s or two ext. <s on the same side of the trans. are supplementary, then these lines are parallel.

If two lines are each parallel to a third line...

Then these lines are parallel to each other.

If two coplanar lines are each perpendicular to a third line...

Then these lines are parallel to each other.

If two lines are cut by a trans. So that...

Two corr. <s are congruent, then these lines are parallel.

In a triangle, the sum...

Of the measures of the int. <s is 180°.

Each < of an equilateral triangle...

Measures 60°.

Corollary

The acute <s of a rt. triangle...

Are comp.

Corollary

If two <s of one triangle are congruent to two <s of another triangle...

Then the third <s are also congruent.

Corollary

The measure of an ext. < of a triangle equals...

The sum of the measures of the two non-adjacent int. <s.

Corollary

When the sides of a triangle are extended, each angle that is formed...

By a side and an extension of the adjacent side is an ext. < of the triangle.

Fact

Vertex

A point where two lines or line segments meet.