1 / 18

Angle Relationships

This guide explores key concepts of angles in geometry, including supplementary and complementary angles, as well as vertically opposite angles formed when two lines intersect. We will demonstrate the sum of interior angles in a triangle and the properties of angles created by a transversal crossing parallel lines. Additionally, you'll find examples to calculate unknown angles using geometric reasoning. This concise overview will help enhance your understanding of angle relationships and their applications in geometry.

reese-lynch
Télécharger la présentation

Angle Relationships

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. Angle Relationships

  2. Supplementary angles • Two angles whose sum is 180° Complementary angles • Two angles whose sum is 90°

  3. Vertically opposite angles • Non-adjacent angles formed when two lines cross • <AEB and <DEC are vertically opposite angles • What is the other pair?

  4. Sum of the Interior Angles in a Triangle • Draw any size triangle on a piece of paper and cut it out. • Label the angle a, b, and c. • Tear off angles b and c. • Line them up with angle a. What do you see?

  5. The sum of the interior angles of a triangle is always 180°.

  6. Interior Angles

  7. Transversal • A line that crosses two other lines or line segments

  8. Corresponding angles • Angles either both above or both below two lines on the same side of a transversal • If the lines are parallel, corresponding angles are congruent

  9. Interior angles • Angles between two lines on the same side of a transversal • If the lines are parallel, interior angles are supplementary

  10. Alternate interior angles • Angles between two lines on either side of a transversal • If the lines are parallel, alternate interior angles are congruent

  11. Find the measures of 1) <EHB 2) <FHG 3) <EHG Example 1

  12. Find the measure of the unknown angle (x). Support your answer with geometric reasoning. Example 2

  13. Find the measure of the unknown angle (x). Support your answer with geometric reasoning. Example 3

  14. Find the measure of the unknown angles (x and y). Support your answer with geometric reasoning. Example 4

  15. Classwork • Page 431-432, #1 and 3

More Related