3-3 Proving Lines  Geometry.

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Presentation transcript:

3-3 Proving Lines  Geometry

Post.3-3-1 – Corresponding s Postulate (Converse) If 2 lines are cut by a transversal so that corresponding s are , then the lines are . ** If ___ ____, then l m. 1 2 l m

3-3-3 – Converse of AIA Thm If 2 coplanar lines are cut by a transversal so that a pair of alt. int. s are , then the 2 lines are . ** If __ ___, then l m. 1 2 l m

3-3-4 – Converse of AEA Thm If 2 coplanar lines are cut by a transversal so that a pair of alt. ext. s are , then the 2 lines are . ** If 1  2, then l m. l m 1 2

3-3-5 – Converse of SSIA Thm If 2 coplanar lines are cut by a transversal so that a pair of same side int. s are supplementary, then the lines are . **If ___ & ___ are supplementary, then l m. l m 1 2

Ex 1: Based on the info in the diagram, is p q ? If so, give a reason.

Ex 2: Find the value of x that makes j  k . The angles marked are ____________ interior s. Therefore, they are _________________. xo 3xo j k

Ex 3: Find the value of x that makes j  k . The angles marked are ____________ interior s. Therefore, they are _________________. (10x+8)o (25x -3)° j k

Ex 4: Proving Lines Parallel Given: ∠1≌∠4, ∠3 & ∠4 are supplementary. Prove: l  m 1 2 3 4 l m n

Proving Lines Parallel

Assignment