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### 15 Cards in this Set

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 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.