Download Geometry Name: Introduction to Proofs: Theorems and Postulates

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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.