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Section 6.5: Prove Triangles are Similar by SSS and SAS

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Presentation on theme: "Section 6.5: Prove Triangles are Similar by SSS and SAS"— Presentation transcript:

1 Section 6.5: Prove Triangles are Similar by SSS and SAS
Chapter 6: Similarity Section 6.5: Prove Triangles are Similar by SSS and SAS

2 Section 6.5: Prove Triangles are Similar by SSS and SAS
Side-Side-Side Similarity Theorem (SSS): If the corresponding sides of two triangles are proportional, then the triangles are similar IF then ΔABC ~ ΔFGH A F B G H C

3 Section 6.5: Prove Triangles are Similar by SSS and SAS
Determine whether the triangles are similar. If they are similar, write a similarity statement. J 25 F 10 40 H 16 12 G 30 K

4 Section 6.5: Prove Triangles are Similar by SSS and SAS
All three figures below are rectangles. Is either GHJK or LMNP similar to CDEF? 3 C D 2 E F 6 M 5 L G H 3 4 K J P N

5 Section 6.5: Prove Triangles are Similar by SSS and SAS
Side-Angle-Side Similarity Theorem (SAS): If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the included sides are in proportional, then the triangles are similar If <X ≅ <M, and then ΔXYZ ~ ΔMNP X M Z Y P N

6 Section 6.5: Prove Triangles are Similar by SSS and SAS
Determine whether the triangles are similar. If they are similar, write a similarity statement. G K 18 24 32 H J

7 Section 6.5: Prove Triangles are Similar by SSS and SAS
Show that ΔLMQ ~ ΔLNP N 40 M 16 L 14 P Q 35

8 Section 6.5: Prove Triangles are Similar by SSS and SAS
Try together: Pg. 389 #1-4

9 Section 6.5: Prove Triangles are Similar by SSS and SAS
Homework: Pg. 391 #3-17 (all)


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