6 5 Prove Triangles Similar by SSS and
![6. 5 – Prove Triangles Similar by SSS and SAS 6. 5 – Prove Triangles Similar by SSS and SAS](https://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-1.jpg)
6. 5 – Prove Triangles Similar by SSS and SAS
![Side-Side Similarity (SSS~): Two triangles are similar if the 3 corresponding side lengths are Side-Side Similarity (SSS~): Two triangles are similar if the 3 corresponding side lengths are](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-2.jpg)
Side-Side Similarity (SSS~): Two triangles are similar if the 3 corresponding side lengths are proportional A D B C E F
![Side-Angle-Side Similarity (SAS~): Two triangles are similar if 2 corresponding sides are proportional and Side-Angle-Side Similarity (SAS~): Two triangles are similar if 2 corresponding sides are proportional and](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-3.jpg)
Side-Angle-Side Similarity (SAS~): Two triangles are similar if 2 corresponding sides are proportional and the included angle is congruent A D B C E F
![1. Verify that ABC ~ DEF. Find the scale factor of ABC to DEF. 1. Verify that ABC ~ DEF. Find the scale factor of ABC to DEF.](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-4.jpg)
1. Verify that ABC ~ DEF. Find the scale factor of ABC to DEF. ABC: AB = 12, BC = 15, AC = 9 DEF: DE = 8, EF = 10, DF = 6 A 9 12 D 8 B 15 C E Scale Factor: 6 10 F
![2. Is either LMN or RST similar to ABC? Explain. ABC ~ RST by 2. Is either LMN or RST similar to ABC? Explain. ABC ~ RST by](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-5.jpg)
2. Is either LMN or RST similar to ABC? Explain. ABC ~ RST by SSS~
![3. Determine whether the two triangles are similar. If they are similar, write a 3. Determine whether the two triangles are similar. If they are similar, write a](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-6.jpg)
3. Determine whether the two triangles are similar. If they are similar, write a similarity statement and find the scale factor of Triangle B to Triangle A. L X YES or NO YXZ ~ ______ JLK ______ Scale Factor:
![3. Determine whether the two triangles are similar. If they are similar, write a 3. Determine whether the two triangles are similar. If they are similar, write a](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-7.jpg)
3. Determine whether the two triangles are similar. If they are similar, write a similarity statement and find the scale factor of Triangle B to Triangle A. YES or NO ______ ~ ______ Scale Factor:
![4. Determine whether the triangles are similar. If they are similar, state which postulate 4. Determine whether the triangles are similar. If they are similar, state which postulate](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-8.jpg)
4. Determine whether the triangles are similar. If they are similar, state which postulate or theorem that justifies your answer. Show all work! 15 10 4 6 GKH NKM YES or NO SAS ~ Reason: ______
![4. Determine whether the triangles are similar. If they are similar, state which postulate 4. Determine whether the triangles are similar. If they are similar, state which postulate](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-9.jpg)
4. Determine whether the triangles are similar. If they are similar, state which postulate or theorem that justifies your answer. Show all work! ABC DEC B E YES or NO AA ~ Reason: ______
![4. Determine whether the triangles are similar. If they are similar, state which postulate 4. Determine whether the triangles are similar. If they are similar, state which postulate](http://slidetodoc.com/presentation_image_h2/3bd5a745f7d036dd37e5117e63d497f2/image-10.jpg)
4. Determine whether the triangles are similar. If they are similar, state which postulate or theorem that justifies your answer. Show all work! YES or NO Reason: ______
- Slides: 10