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Day 13­4
                                             ~
                 Angle­Angle Similarity ﴾AA﴿    Postulate
If two angles of one triangle are congruent to two angles of another 
triangle, then the triangles are similar.




                                     ~
Side­Angle­Side Similarity ﴾SAS﴿    Theorem
If an angle of one triangle is congruent to an angle of a second triangle,
and the sides including the two angles are proportional, then the triangles are similar.


                                     ~
Side­Side­Side Similarity ﴾SSS﴿    Theorem
If the corresponding sides of two triangles are proportional, then the triangles are 
similar.


                                      Feb 3­8:55 AM

                                                                                           1
1.  Are the following triangles similar?  If so, write a 
similarity statement.

                            b)                              c)
  a)




                                            Feb 3­9:05 AM

                                                                 2
2.  Joan places a mirror 24 ft from the base of a 
tree.When she stands 3 ft from the mirror, she can 
see the top of the tree reflected in it. If her eyes are 5 
ft above the ground, how tall is the tree?
TR represents the height of the tree, Point M represents 
the mirror, and point J represents Joan’s eyes.




3.  In sunlight, a cactus casts a 9­ft shadow. At the same time, a person 6 ft tall casts a 4­ft 
shadow. Find the height of the cactus.




                                           Feb 3­9:14 AM

                                                                                                    3
Similar Triangles Proofs
         Day 5




         Apr 27­2:04 PM

                           4
Apr 27­2:04 PM

                 5
Apr 27­2:14 PM

                 6
Prove:




   Apr 27­2:42 PM

                    7
Apr 26­8:34 AM

                 8

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Notes Day 4&5: Prove that Triangles are Similar