Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Lie sphere geometry wikipedia , lookup
History of geometry wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Rational trigonometry wikipedia , lookup
Projective plane wikipedia , lookup
Contour line wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Name _________________________________ Date _____________ Period _________ Adv Geometry 3-5 Proving Lines are Parallel Warm Up 3-5 Proving Lines are Parallel Postulate: If 2 lines in a plane are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel. Euclid’s Parallel Postulate: If given a line and a point not on the line, there exists exactly one line through the point that is parallel to the given line. Theorems: If 2 lines in a plane are cut by a transversal so that a pair of alternate exterior angles is congruent, then the two lines are parallel. If 2 lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel. If 2 lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel. In a plane, if 2 lines are perpendicular to the same line, then they are parallel. Example #1 Name _________________________________ Date _____________ Period _________ Adv Geometry 3-5 Proving Lines are Parallel Example #2 (p.174) Find x and mRSU so that m || n Name _________________________________ Date _____________ Period _________ Adv Geometry 3-5 Proving Lines are Parallel Example: Determine if 𝑔||𝑓. Explain. Class work: p. 175 #1-5, 7 Homework: p. 176 #8-20