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Notes Day 4&5: Prove that Triangles are Similar
 

Notes Day 4&5: Prove that Triangles are Similar

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    Notes Day 4&5: Prove that Triangles are Similar Notes Day 4&5: Prove that Triangles are Similar Presentation Transcript

    • 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