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15 Cards in this Set

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  • Back
Vertical Angles Theorem
Vertical Angles are Congruent
Ext. Angle Theorem1
The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles
Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite those sides are also congruent.
Converse of Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite the angles are congruent.
Theorem 4-5
If two angles of one trinagle are congruent to two angles of another triangle, the the third angles are congruent.
Theorem 4-6
All right angles are congruent.
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Same-Side Interior Angles Theorem
If two parallel lines ae cut by a transversal, then the pairs of same-side interior angles are supplemetary.
Converse of Corresponding Angles Postulate
If two lines are cut by a transversal, so that a pair of corresponding angles are congruent,then the lines are parallel.
Converse of Alternate Interior Angles Theorem
If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel.
Euclid's Parallel Postulate
Through a point not on a line, there is one and only one line parallel to the given line.
Spherical Geometry Parallel Postulate
Through a point not on a line, there is no line parallel to the given line
Angle-Angle Similarity postulate
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar
Side-Angle-Side Similarity Theorem
If an angle of one tirangle is congruent to an angle of a second triangle, and the sides including the wo angles are proportional, then the triangles are similar.