Properties of Parallel Lines & Proving Lines Parallel

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Presentation transcript:

Properties of Parallel Lines & Proving Lines Parallel 3-1 & 3-2 Properties of Parallel Lines & Proving Lines Parallel

OBJECTIVES Identify angles formed by two lines and a transversal To prove and use properties of parallel lines To relate parallel and perpendicular lines

VOCABULARY Transversal- a line that intersects two coplanar lines at two distinct points Alternate Interior Angles- nonadjacent interior angles that lie on opposite sides of the transversal Same Side Interior Angles- lie on the same side of the transversal and in between the two coplanar lines Two Column Proof- statements and reasons are aligned in two columns Corrresponding angles- lie on the same side of the transversal and in corresponding positions relative to the two coplanar lines Alternate Exterior Angles- nonadjacent exterior angles that lie on opposite sides of the transversal Same Side Exterior Angles- lie on the same side of the transversal and on the outside of the two coplanar lines Flow Proof- arrows show the logicl connections between the statements. Reasons are written below the statements.

Postulates & Theorems

Postulates & Theorems

Two Column Proof of Theorem 3-1 Flow Proof of Theorem 3-3

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