1 / 9

Lesson 1

Lesson 1. Transversals and Proportional Line Segments. Transversals. Transversals -Lines that intersect two or more lines. When a transversal cuts two parallel lines, four types of pairs of angles are formed. Vertical angles pairs – angles across from each other: 1&4, 3&2, 5&8, 7&6.

duaa
Télécharger la présentation

Lesson 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson 1 Transversals and Proportional Line Segments

  2. Transversals • Transversals-Lines that intersect two or more lines. • When a transversal cuts two parallel lines, four types of pairs of angles are formed.

  3. Vertical angles pairs – angles across from each other: 1&4, 3&2, 5&8, 7&6 Corresponding angle pairs – angles that correspond at each intersection: 2&6, 4&8, 1&5, 3&7 Alternate interior angle pairs – angles inside the parallel lines on alternate sides of the transversal: 3&6, 4&5 Alternate exterior angle pairs – angles outside the parallel lines on alternate sides of the transversal: 1&8, 2&7

  4. If a transversal cuts two parallel lines, half the angles formed are Obtuse angles that are all equal in measure, and the other half are Acute angles that are all equal in measure.

  5. Toolbox 1)

  6. Proportional Segments • Proportional segments – When two transversals cut three or more parallel lines, the resulting segments are proportional

  7. 2(SF) = SF = 5 = x x = Toolbox 2) proportion and scale factor 5(SF) = x

  8. (4z)° (2y)° 3 4 140° x° 7 k Assignment: Problem Set 1 from the book with these changes: • 5. Find x, y, and z. 6. Solve for k. • 8. What are the measures of the two acute angles in an isosceles right triangle? • 12. Find the area of the figure in Problem 12 in Problem Set 1 in the book.

More Related