Download Geometry Postulates & Theorems: Linear Pairs, Vertical & Alternate Angles and more Exams Algebra in PDF only on Docsity!
Integrated Algebra/Geometry Name______________________
Toolkit/Summary Notes 1.
Unit 1 Lesson 2: Postulates and Theorems
Names of Postulates and Theorem (if exist) Postulates and Theorems Labeled Illustrations Linear Pair Postulate If two angles form a linear pair, then they are supplementary *supplementary means sums to 180. *linear pair means they form a line. Angle 1 and angle 2 Angle 2 and angle 3 Angle 3 and angle 4 Angle 4 and angle 1 Vertical Angles Theorem Vertical Angles meet at a vertex but are on opposite sides of the intersecting lines(definition) Theorem – If two lines intersect then vertical angles are congruent Angle 2, and Angle 4 are vertical angles Angle 1 and Angle 3 are vertical angles Corollary — resulting property from a given proof: If two lines form a linear pair of angles having equal measure, then the lines are perpendicular. Compass Directions:
Interior Angles on the Same Side of the Transversal Theorem
If two parallel lines are cut by a transversal, then,
interior angles on the same side of the transversal are
supplementary.
(Consecutive interior angles) Exterior Angles on the Same Side of the Transversal Theorem
If two parallel lines are cut by a transversal, then,
exterior angles on the same side of the transversal are
supplementary.
(Consecutive exterior angles)
Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal, then,
Alternate Interior Angles are congruent.
Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then,
Alternate Exterior Angles are congruent.
Corresponding Angles Assumption
If two parallel lines are cut by a transversal, then
corresponding angles are congruent.
are parallel. Angle 1 and Angle 7 Angle 10 and Angle 16 Angle 8 and Angle 14
If and Only If Statements:
Two Column Proof Example:
