Name ______________________________________________ Geometry Chapter 3 Review Sheet I) Theorems You Should Know Vertical Angles Theorem Congruent Supplements Theorem Congruent Complements Theorem Alternate Interior Angles Theorem, AIA – if two parallel lines are cut by a transversal then each pair of alternate interior angles is congruent. Same-Side Interior Angles Theorem, CIA – if two parallel lines are cut by a transversal then then each pair of consecutive interior angles is supplementary. Alternate Exterior Angles Theorem, AEA) – if two parallel lines are cut by a transversal then then each pair of alternate exterior angles is congruent. Converse of Alternate Interior Angles Theorem - if two lines in a plane are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel. Converse of Same-Side Interior Angles Theorem - if two lines in a plane are cut by a transversal so that a pair of consecutive interior angles are supplementary, then the lines are parallel. Converse of Alternate Exterior Angles Theorem - if two lines in a plane are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel. In a plane, if a two lines are parallel to the same line, then they are parallel to each other. In a plane, if a two lines are perpendicular to the same line, then they are parallel. In a plane if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other. II) Postulates You Should Know Segment Addition Postulate Angle Addition Postulate Corresponding Angles –if two parallel lines are cut by a transversal then each pair of then corresponding angles is congruent. Converse of Corresponding Angles Postulate if two lines in a plane are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.

III) Properties I should know Properties of Equality Addition Subtraction Multiplication Division Reflexive Symmetric Transitive Substitution Distributive Properties of Congruence IV) Terms You Should Know Alternate Exterior Angles Alternate Interior Angles Same Side Interior Angles Corresponding Angles Same Side Exterior Angles Transversal

V) State the transversal that forms each pair of angles V) State the transversal that forms each pair of angles. Then identify the special angle pair name p l m 1)  5 and  7 2)  1 and  8 3)  4 and  10 4)  1 and  3 4 3 5 2 7 1 6 8 n 11 9 10 VI) Find the measure of each angle given State reason why. 5) m 1 = 6) m 2 = 7) m 4 = 8) m 5 = 9) m 6 = G F 3 C 1 2 D 5 4 6 E H VII) Find the value of x and y so that 9) 10) (2x – 3)° (2y + 7)° (3x - 72)° (4y - 37)°

VIII) Given the following information which lines are parallel and why? B 11)  1 and  2 are supplementary 12)  5   6 13) m 4 + m 5 = 180 14)  6   2 6 1 E 5 4 A 3 2 C D 1 2 3 4 5 a b l m IX) Proofs l m a 1 b 3 2 IX) True/False and Fill in the Blank

Chapter 3 Parallel Lines Review Sheet Answers Geometry Chapter 3 Parallel Lines Review Sheet Answers Name ______________________________________________ V) State the transversal that forms each pair of angles. Then identify the special angle pair name 1) p consecutive interior angles 2) n corresponding angles 3) p alternate exterior angles 4) l alternate interior angles VI) Find the measure of each angle given State reason why. 5) m 1 = 40° VA are congruent 6) m 2 = 140° If two parallel lines are cut by a transversal then SSI angles are supp 7) m 4 = 40° CA are congruent 8) m 5 = 140° Linear pair with  1 9) m 6 = 40° VII) Find the value of x and y so that 9) x = 69 10) y = 35 VIII) Given the following information which lines are parallel and why?

IX) Proofs 15) 16)