Using Properties of Parallel Lines Chapter 3 Section 3.5 Using Properties of Parallel Lines

Warm-Up  

New Theorems Theorem 3.11: If two lines are parallel to the same line then the lines are parallel to each other p q r If p // r and r // q, then p // q

New Theorems Theorem 3.12: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other m n p If m  p and n  p, then m // n

State the postulate or theorem that allows you to conclude a // b

State the postulate or theorem that allows you to conclude a // b

State the postulate or theorem that allows you to conclude a // b

Explain how you would show that a // b Explain how you would show that a // b. State any postulates or theorems you would use.

Explain how you would show that a // b Explain how you would show that a // b. State any postulates or theorems you would use.

Constructions We will come back to these at a later date Construct a perpendicular thru a given point Copy an angle Construct a parallel thru a given point

Complete the Two Column Proof of Theorem 3.12