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Transcript
Geometry Name: __________________ Introduction to Proofs: Theorems and Postulates State the corresponding postulate or theorem from the word bank next to its correct definition and image. Word Bank: Consecutive Interior Angles Theorem Triangle Exterior Angle Postulate Parallel Lines Theorem Vertical Angles Postulate Third Angle Theorem Linear Pair Postulate Corresponding Angles Postulate Alternate Interior Angles Theorem Alternate Exterior Angles Theorem Consecutive Exterior Angles Theorem Definitions If two angles form a linear pair, then the measures of the angles add up to 180. If two angles are vertical angles, then they are congruent. If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two parallel lines are cut by a transversal, then the alternate interior angles are congruent. If two parallel lines are cut by a transversal, then alternate exterior angles are congruent. If two parallel lines are cut by a transversal, then consecutive interior angles are supplementary. If two parallel lines are cut by a transversal, then consecutive exterior angles are supplementary. If two parallel lines are cut by a transversal, then corresponding angles are congruent, alternate interior angles are congruent, and alternate exterior angles are congruent. If two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle is equal in measure to the third angle in the other triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. Theorem/Postulate: Write the correct theorem or postulate next to each image. Use the word bank on the front page.