Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download 3-3 Notes
Document related concepts
Analytic geometry wikipedia , lookup
Algebraic geometry wikipedia , lookup
Cartan connection wikipedia , lookup
Lie sphere geometry wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Rational trigonometry wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Geometrization conjecture wikipedia , lookup
History of geometry wikipedia , lookup
Transcript
10/23/2013 3-3 Proving Lines Parallel 3-3 Proving Lines Parallel Objective Use the angles formed by a transversal to prove two lines are parallel. Holt Geometry Holt Geometry 3-3 Proving Lines Parallel 3-3 Proving Lines Parallel Example 1A: Using the Converse of the Corresponding Angles Postulate Given the information to show that ℓ || m. 4 8 Holt Geometry Holt Geometry 3-3 Proving Lines Parallel 3-3 Proving Lines Parallel Check It Out! Example 2a Check It Out! Example 2b Refer to the diagram. Use the given information and the theorems you have learned to show that r || s. What value of x will make r || s? m4 = m8 m3 = 2x, m7 = (x + 50) Holt Geometry Holt Geometry 1 10/23/2013 3-3 Proving Lines Parallel 3-3 Proving Lines Parallel Example 3: Proving Lines Parallel Example 2B: Determining Whether Lines are Parallel What value of x will make r || s? Given: ℓ || m, 1 3 Prove: p || r m2 = (10x + 8)° m3 = (25x – 3)° Holt Geometry Holt Geometry 3-3 Proving Lines Parallel 3-3 Proving Lines Parallel Example 3 Continued Statements Reasons Holt Geometry Check It Out! Example 3 Given: 1 4, 3 and 4 are supplementary. Prove: ℓ || m Holt Geometry 3-3 Proving Lines Parallel Check It Out! Example 3 Continued Statements Reasons Holt Geometry 2
