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Geometry. Unit II 3.3 Part 2 Proofs Involving Parallel Lines. given. postulate. Theorem definition. Linear pairs. A ray that divides an angle into congruent angles. add up to 180 degrees. Two parallel lines. The pairs of CORRSP. angles are congruent. = 180 degrees.
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Geometry Unit II 3.3 Part 2 Proofs Involving Parallel Lines
given postulate Theorem definition Linear pairs A ray that divides an angle into congruent angles add up to 180 degrees
Two parallel lines The pairs of CORRSP. angles are congruent = 180 degrees Replacing one quantity with an equivalent one. They are congruent AIA are congruent AEA are congruent SSIA are supplementary.
a II c, b II d Given 2. Are corresponding angle Def. of corrs. Angles _______ CAP 4. _____ Def alt. ext angles Alternative Exterior Angles 5. ________ AEAT 6. _________ Substitution
1. a II c, b II d Given 2. Are same side interior angles Def. same side INT Angle 3. Are supplementary SSIAT 4. Def. of supplementary angles 5. Are Alt. ext. angles Def. of Alt. Ext. Angles 6. AEAT 7. Substitution 8. Are supplementary Def. of supplementary
A E B 1. BE II LD, BE bisects angle ABD Given 2. Def of Ang. Bisector L 3. Are Alt. Int. Angle Def. Alt. Int D 4. AIAT 5. Substitution