73 similar triangles i can identify similar triangles...
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Geo 73 Lesson with notes 1st a.notebook
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February 19, 2016
Feb 132:24 PM
73 Similar Triangles
Learning Targets:I can identify similar triangles using the AA Similarity Postulate and
the SSS and SAS Similarity TheoremsI can use similar triangles to solve problems
How do the angles of the two triangles compare?
Is the new triangle congruent to the original one?
Julian copied two angles from the original triangle. Is the third angle the same in each triangle? Why?
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Geo 73 Lesson with notes 1st a.notebook
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Feb 198:13 AM
Feb 132:35 PM
Geo 73 Lesson with notes 1st a.notebook
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Feb 132:37 PM
Feb 132:39 PM
Example 1: Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
1. 2.
3. 4.
Geo 73 Lesson with notes 1st a.notebook
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Example 2: Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
5. 6.
7. 8.
Geo 73 Lesson with notes 1st a.notebook
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Feb 132:58 PM
Determine if there is sufficient information to prove similar triangles.
Feb 133:03 PM
Example 3:
9. If ΔRST and ΔXYZ are two triangles such that RS/XY = 2/3 which of the following would be sufficient to prove that the triangles are similar?
A. RT = ST B. <R ≅ <S C. RS = RT = ST D. RX = XY XZ YZ XY XZ YZ RT XZ
10. If ΔJKL and ΔFGH are two triangles such that <J ≅ <F, which of the following would be sufficient to prove that the triangles are similar?
A. KL = JL G. JL = FH H. JK = KL J. JL = GH GH FH JK FG FG GH JK FG
Geo 73 Lesson with notes 1st a.notebook
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Feb 133:30 PM
Feb 133:31 PM
Geo 73 Lesson with notes 1st a.notebook
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Example 4:
11. Given RS || UT, RS = 4, RQ = x + 3, QT = 2x + 10, UT = 10. Find RQ and QT.
Feb 133:36 PM
Find each measure.
12. QP and MP 13. WR and RT
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Example 5:
14. Josh wanted to measure the height of the Sears Tower in Chicago. He used a 12foot light pole and measured its shadow at 1P.M. The length of the shadow was 2 feet. Then he measured the length of Sears Tower's shadow and it was 242 feet at the same time. What is the height of the sears Tower?
Geo 73 Lesson with notes 1st a.notebook
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February 19, 2016
Feb 133:49 PM
15. Adam is standing next to the Palmetto Building in Columbia, South Carolina. He is feet tall and the length of his shadow is 9 feet. If the length of the shadow of the building is 322.5 feet, how tall is the building?
Feb 133:51 PM