1 / 12

Understanding Triangle Similarity: AA, SAS, and SSS Postulates Explained

Explore the concepts of triangle similarity through the lens of AA, SAS, and SSS postulates. This guide covers how to determine if two polygons are similar, identify congruent angles, and apply similarity statements and scale factors. Learn to compare ratios and understand when triangles are similar based on their angles and side lengths. Engage with practical exercises to reinforce your understanding, along with a homework section to solidify the concepts learned. Perfect for students mastering similarity in geometry.

gretchen-medina
Télécharger la présentation

Understanding Triangle Similarity: AA, SAS, and SSS Postulates Explained

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. To Start: 18 Points • Determine if the polygons are similar. If so, write the similarity statement and scale factor. • Identify the congruent angles. • Compare the ratios 4 12 T J U K 2 6 W M 8 8 24 24 V L

  2. Chapter 7: Similarity Section 7.3: Proving Triangles Congruent

  3. Postulate 7.1 AA∼

  4. Using AA∼ Postulate • Are the two triangles similar? Why? • ∠R≅∠V Both are 45o • ∠RSW≅∠VSB Vertical ∠’s So, ∆RSW∼∆VSB AA∼ Postulate

  5. Using AA∼ Postulate • Are the two triangles similar? Why? • ∠L≅∠R Both are 70o • ∠K=180-70-30=80 • ∠P=180-85-70=25 So, ∆RSW and ∆VSB are not Similar

  6. Using AA∼ Postulate YES NO

  7. Theorem 7-1 SAS∼

  8. Verifying Triangle Similarity • Are the triangles similar? If so, write the similarity statement. ∠K≅∠K Reflexive So, ∆KLP∼∆KMN by SAS∼

  9. Theorem 7-2 SSS∼

  10. Verifying Triangle Similarity • Are the triangles similar? If so, write the similarity statement. • All three ratios are equal, so, ∆STU ∼∆VSB by the SSS∼ Theorem.

  11. Using SAS∼ and SSS∼ YES! ∆ABC ∼∆EFG by SSS∼ YES! ∆ALW ∼∆ACE by SAS∼

  12. Homework!! • Page 455: • 1-3, 7-12, 24-26 • 7.3 Worksheet

More Related