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7.3 Proving Triangles Similar 1 February 10, 2010 Feb 55:32 PM 7.3 Proving Triangles Similar Objective: Use and apply AA, SAS, and SSS similarity statements.

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Page 1: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

1

February 10, 2010

Feb 5­5:32 PM

7.3 Proving Triangles Similar

Objective:  Use and apply AA, SAS, and SSS similarity statements.

Page 2: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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February 10, 2010

Feb 5­5:35 PM

Page 3: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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February 10, 2010

Feb 5­5:36 PM

Page 4: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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Page 5: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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Page 6: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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Example #1:  Explain why the triangles are similar.  Write a similarity statement.

Page 7: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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February 10, 2010

Feb 5­5:37 PM

Page 8: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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February 10, 2010

Feb 5­5:38 PM

Example #2:  Explain why the triangles are similar.  Write a similarity statement.

Page 9: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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February 10, 2010

Feb 5­5:38 PM

Example #3:  Explain why the triangles are similar.  Write a similarity statement.

Page 10: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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Example #4:  If the triangles are similar, find DE.  

DE = 15

Page 11: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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February 10, 2010

Feb 5­5:38 PM

Example #5:  Are the triangles similar?  If so, write a similarity statement and name the postulate or theorem you used.  If not, explain.  

Page 12: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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Example #6:  Explain why the triangles are similar.  Then find the value of x.  

Page 13: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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Example #7:    

35 feet high

Page 14: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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Example #8:  

Page 15: 7.3 Proving Triangles Similar - staffweb.psdschools.org - /staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 7/… · 7.3 Proving Triangles Similar 4 February 10, 2010

7.3 Proving Triangles Similar 

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Homework:  page 385

(1, 2, 5 ­ 19 odd, 24 ­ 28 even, 31 ­ 35 odd)