Terra Nova Practice Lesson 17

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Presentation transcript:

Terra Nova Practice Lesson 17 Angles Formed By Parallel Lines and a Transversal

Theorem 1: Alternate interior angles are congruent Theorem 1: Alternate interior angles are congruent. (For example, 2  3) Theorem 2: Corresponding angles are congruent. (For example, 1  3 and 2  5) Theorem 3: Interior angles on the same side of the transversal are supplementary. (For example, the sum of the m4 and m2= 180)

Problem 1 Line p is parallel to line q. Which list shows accurate angle relationships? A 1  3; 6  7 B 1  7; 6  8 C 5  7; 2  4 D 2  3; 6  7

Problem 2 Line m is parallel to line n. Which list shows accurate angle relationships? A 1  3; 6  8 B 6  7; 2  7 C 6  3; 2  3 D 6  3; 2  8

Problem 3 Line r is parallel to line s. Which statement is NOT correct? A The sum of the m 6 and m7 = 180. B The sum of the m 4 and m8 = 180. C The sum of the m2 and m3 = 180. D The sum of the m2 and m4 = 180.

Problem 4 Lines j and k are parallel. Which theorem can be used to prove that a  b? A Theorem 1 C Theorem 3 B Theorem 2 D None

Problem 5 Lines s and t are parallel. Which theorem can be used to prove c  d? A Theorem 1 B Theorem 2 C Theorem 3 D None

Problem 6 Lines p and q are parallel. Z is a transversal. Find x. C 130 D 150

Problem 7 u and v are parallel lines. w is a transversal. Find q. C 80 D 70

Answers 1 C 2 A 3 D 4 A 5 B 6 B 7 A