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Name: ___________________ Geometry PAP Period: ________ Part I: Ch. 3 Section 1 Identifying Pairs of Lines and Angles Key Words Definition Parallel Lines Two lines that do not __________ and are ______________. Two lines that do not __________ and are not ____________. Two planes that do not _________. Skew Lines Parallel Planes Real Life Example Examples: Line ____ and ____ are parallel lines. Lines ____ and ____ are skew lines. Plane ____ and ____ are parallel planes. Lines ____ and ____ are intersecting lines, and there is a plane (not shown) containing them. Determine whether the following is either skew, parallel, or neither. Parallel and Perpendicular Postulate: Highlight and read Parallel and Perpendicular Postulate. (Parallel Postulate) (Perpendicular Postulate) 1 Name: ___________________ Geometry PAP Period: ________ A ______________ is a line that __________ _____ or more ___________ _________ at different points. Angles Formed by Transversals Two angles are _____________ _________ if they have corresponding (similar/identical) positions. For example, ____ and ____ are above the lines and to the right of transversal t. Two angles are ____________ __________ ________ if they lie _______ the two lines and on __________ _______ of the transversal. Two angles are ____________ __________ ________ if they lie _______ the two lines and on __________ _______ of the transversal. Two angles are ____________ __________ ________ if they lie _______ the two lines and on the _______ _______ of the transversal. Example: Classify the pair of number angles as alternate interior angles, alternative exterior angles, corresponding angles, or consecutive interior. Draw picture of missing pair. 2 Name: ___________________ Geometry PAP Period: ________ Part II: Ch. 3 Section 2 Using Parallel Lines and Transversals Postulates and Theorems: Highlight and read the following theorems. Postulate/Theorem Picture _________ Angles Postulate (Postulate 15) Alternate ________ Angles Theorem Alternate ________ Angles Theorem ________ ______ Angles Theorem Examples: Find the values of x and y. Answer: _____________ Answer: _____________ 3 Name: ___________________ Geometry PAP Period: ________ Find the values of x and y. Answer: __________________ Answer: __________________ 4