1 / 14

Triangle Perimeter and Circle Angle Relationships: A Detailed Exploration

This document covers essential concepts involving the perimeter of triangles and angle relationships in circles. Firstly, it calculates the perimeter of a triangle with given side lengths of AM = 8, BP = 7, and CA = 18. Next, it delves into various cases of angle relationships based on the vertex position—on the circle, inside it, or outside. Each case includes multiple practice examples with solutions for finding the measures of angles formed by intersecting lines and arcs. This comprehensive guide serves as a practical resource for mastering geometry concepts.

quentin-christensen
Télécharger la présentation

Triangle Perimeter and Circle Angle Relationships: A Detailed Exploration

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. Warm-up A 1. Let AM = 8, BP = 7, and CA = 18. Find the perimeter of the triangle. N M 50 C P 3. MCY = 270 Find BC. B 2. Find ACB 20 B A M 312 20 90 B 24 C C Y

  2. 6.5 Other Angle Relationships – On, Inside, and Outside of the Circle

  3. Case I:Vertex is ON the circle ANGLE ARC ARC ANGLE

  4. REMEMBER: Find m1. A B 1 124° C m1 = 62º

  5. Ex. 1: Find m1. 1 78° m1 = 39º

  6. 108° Ex. 2: Find m1. 1 m1 = 126º

  7. Case II:Vertex is inside the circle A ARC B ANGLE D ARC C Looks like a PLUS sign!

  8. Ex. 4 Find m1. 93° A B 1 D C 113° m1 = 103º

  9. Ex. 5 Find mQT. mQT = 100º N Q 84º 92º M T

  10. Case III:Vertex is outside the circle C ANGLE small ARC A D LARGE ARC B LARGE ARC LARGE ARC small ARC ANGLE small ARC ANGLE

  11. Ex. 6 Find m1. 1 15° A D 65° B m1 = 25º

  12. Ex. 7 Find mAB. mAB = 16º A 27° 70° B

  13. Ex. 8 Find m1. 260° 1 m1 = 80º

  14. 52.5º 4 32º 2 Brain Buster 3 105º 36.5º 1 105º 16º

More Related