Warm Up 10.17.11 Week 1 If I run, then you walk. 1) What is the inverse? 2) Place marks to show congruence: AB ≅ EF and DE ≅ BC : B A C E D F.

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Presentation transcript:

Warm Up Week 1 If I run, then you walk. 1) What is the inverse? 2) Place marks to show congruence: AB ≅ EF and DE ≅ BC : B A C E D F

Geometry 3.1 Day 1 I will Identify relationships between lines. Parallel Lines When two lines are coplanar and do not intersect. Skew Lines When two lines are not coplanar and do not intersect. Ex 1 AB CD EBCD Parallel Skew

Ex 2 U W Planes U and W are Parallel Parallel Planes Two planes that do not intersect.

Ex 3 P 13 Parallel Postulate If there is a line, and a point not on the line, then there is exactly one line through the point and parallel to the other line. l P Marks indicate these lines are parallel

Ex 4 P 14 Perpendicular Postulate If there is a line, and a point not on the line, then there is exactly one line through the point and perpendicular to the other line. l P

Ex 5 Transversal A line that intersects two or more coplanar lines

Ex 5 TransversalA line that intersects two or more coplanar lines. t ∠1 and ∠5 corresponding angles

Ex 5 TransversalA line that intersects two or more coplanar lines. t ∠1 and ∠5 corresponding angles ∠1 and ∠8 alternate exterior angles

Ex 5 TransversalA line that intersects two or more coplanar lines. t ∠1 and ∠5 corresponding angles ∠1 and ∠8 alternate exterior angles ∠3 and ∠6 alternate interior angles

Ex 5 TransversalA line that intersects two or more coplanar lines. t ∠1 and ∠5 corresponding angles ∠1 and ∠8 alternate exterior angles ∠3 and ∠6 alternate interior angles ∠3 and ∠5 consecutive interior angles

Do: 1 Assignment: Textbook Page 132, All Name the corresponding angles: t Name the alternate interior angles: Do: 2 ReviewA _______ is a line that intersects two or more coplanar lines.