1 / 15

Concept 1

Concept 1. Concept 2. Use the Triangle Angle-Sum Theorem. SOFTBALL The diagram shows the path of the softball in a drill developed by four players. Find the measure of each numbered angle.

marny-mcfarland
Download Presentation

Concept 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. Concept 1

  2. Concept 2

  3. Use the Triangle Angle-Sum Theorem SOFTBALL The diagram shows the path of the softball in a drill developed by four players. Find the measure of each numbered angle. Understand Examine the information in the diagram. You know the measures of two angles of one triangle and only one measure of another. You also know that 1 and 2 are vertical angles. Example 1

  4. Example 1

  5. Use the Triangle Angle-Sum Theorem Answer: Therefore, m1 = 63, m2 = 63, and m3 = 38. CheckThe sums of the measures of the angles in each triangle should be 180.m1 + 43 + 74 = 63 + 43 + 74 or 180m2 + m3 + 79 = 63 + 38 + 79 or 180 Example 1

  6. A B C D Find the measure of 3. A. 95 B. 75 C. 57 D. 85 Example 1

  7. Concept 3

  8. Concept 4

  9. Use the Exterior Angle Theorem GARDENING Find the measure of FLW in the fenced flower garden shown. Answer: So, mFLW = 2(80) – 48 or 112. Example 2

  10. A B C D The piece of quilt fabric is in the shape of a right triangle. Find the measure of ACD. A. 30 B. 40 C. 50 D. 130 Example 2

  11. A corollary is a theorem with a proof that follows as a direct result of another theorem. As with a theorem, a corollary can be used as a reason in a proof. These corollaries follow directly from the sum theorem Concept 5

  12. Find Angle Measures in Right Triangles Find the measure of each numbered angle. Example 3

  13. Example 3

  14. m1 = 104,m2 = 76, m 3 = 42,m4 = 48, m5 = 49 Example 3

  15. A B C D Find m3. A. 50 B. 45 C. 85 D. 130 Example 3

More Related