1 / 16

Similarity Exploration

Similarity Exploration. Use a protractor and a ruler to draw two noncongruent triangles so that each triangle has a 40 0 angle and a 60 0 angle. What can you determine about these figures? Why?. Proving Triangles Similar.

zoie
Download Presentation

Similarity 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. Similarity Exploration • Use a protractor and a ruler to draw two noncongruent triangles so that each triangle has a 400 angle and a 600 angle. • What can you determine about these figures? Why?

  2. Proving Triangles Similar Students will be able to prove triangles similar using the AA, SSS, SAS similarity theorem.

  3. Angle-Angle Similarity Postulate (AA~ Post.) • If two angles of one triangle are congruentto two angles of another triangle, then the two triangles are similar. If JKL XYZ and KJL YXZ, then JKL XYZ. Y K J L X Z

  4. Proportionality a. Write the similarity statement. b.Write the statement of proportionality. c.Find mTEC. d.Find ET and BE. T 340 E C 3 20 790 B W 12

  5. State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

  6. State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

  7. State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

  8. State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. Not similar

  9. Find the missing length. The triangles are similar. x = 9

  10. Find the missing length. The triangles are similar. x = 9

  11. Find JU. The triangles are similar. x = 24

  12. Find PW. The triangles are similar. x = 11

  13. Given: Prove: WVX ~ ZYX V X Z W Reasons Statements Y

  14. Given: ABC is a right triangle, AD is an altitudeProve: ABC DAC B D C A Statements Reasons

  15. Theorem 8.2 Side-Side-Side (SSS) Similarity Theorem If the corresponding sides of two triangles are proportional, then the triangles are similar. If , then ABC PQR. Q B A C P R

  16. Theorem 8.3 Side-Angle-Side (SAS) Similarity Theorem If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. If X M and , then XYZ MNP. Y N M P X Z

More Related