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Similarity & Right Triangle Trigonometry 6.4 © 2013 MATHEMATICS VISION PROJECT | MV P In partnership with the Utah State Office of Education Licensed under the Creative Commons Attribution4NonCommercial4ShareAlike 3.0 Unported license Ready, Set, Go! Ready Topic: Pythagorean Theorem and ratios for similar triangles. Find the missing side in each right triangle. 1. 2. 3. 4. Create a proportion for each set of similar triangles. Then solve the proportion. 5. 6. 5 12 ? 3 ? 10 ? 4 1 ? 6 27 Name: 2013 www.flickr.com/photos/idiolector 24

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Page 1: Name:! Similarity)&)Right)Triangle)Trigonometry)6.4) · 2015-03-12 · Similarity)&)Right)Triangle)Trigonometry)6.4)!! ©"2013"MATHEMATICS"VISION"PROJECT"|"MVP" In"partnership"with"the"Utah"State"Office"of"Education"""

Similarity)&)Right)Triangle)Trigonometry) 6.4)!

!

©"2013"MATHEMATICS"VISION"PROJECT"|"MVP"In"partnership"with"the"Utah"State"Office"of"Education"""

Licensed!under!the!Creative!Commons!Attribution4NonCommercial4ShareAlike!3.0!Unported!license"

!

!"

!

!!

Ready,'Set,'Go!'

'

'

Ready'Topic:!Pythagorean!Theorem!and!ratios!for!similar!triangles.!!Find'the'missing'side'in'each'right'triangle.'1.! 2.!!

!!

3.! 4.!!

!!

!Create'a'proportion'for'each'set'of'similar'triangles.'Then'solve'the'proportion.'5.! 6.!

!

!!

5

12?

3

?10

?4

1

?6

27

Name:!

2013!www.flickr.com/photos/idiolector!!

24

Page 2: Name:! Similarity)&)Right)Triangle)Trigonometry)6.4) · 2015-03-12 · Similarity)&)Right)Triangle)Trigonometry)6.4)!! ©"2013"MATHEMATICS"VISION"PROJECT"|"MVP" In"partnership"with"the"Utah"State"Office"of"Education"""

Similarity)&)Right)Triangle)Trigonometry) 6.4)!

!

©"2013"MATHEMATICS"VISION"PROJECT"|"MVP"In"partnership"with"the"Utah"State"Office"of"Education"""

Licensed!under!the!Creative!Commons!Attribution4NonCommercial4ShareAlike!3.0!Unported!license"

!

!"

!

!!

Set'Topic:!Proportionality!of!transversals!across!parallel!lines.!!For'questions'7'and'8,'write'three'equal'ratios.'7.!!The$letters$a,b,c$and$d$represent$lengths$of$line$segments.!

8.!!

!! !

!!9.!!Write!and!solve!a!proportion!that!will!provide!the!missing!length.!

!10.!Write!and!solve!a!proportion!that!will!provide!the!missing!length.!

!!For'questions'11'–'14'find'and'label'the'parallel'lines.'(i.e.'!" ∥ !"')'Then'write'a'similarity'statement'for'the'triangles'that'are'similar.'(i.e.'∆!!"#!~!∆!!"#)'11.!!! 12.!!!

!

!

!Photo!of!river!!©!2013!http://www.flickr.com/photos/electropod/3391592745/!

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Page 3: Name:! Similarity)&)Right)Triangle)Trigonometry)6.4) · 2015-03-12 · Similarity)&)Right)Triangle)Trigonometry)6.4)!! ©"2013"MATHEMATICS"VISION"PROJECT"|"MVP" In"partnership"with"the"Utah"State"Office"of"Education"""

Similarity)&)Right)Triangle)Trigonometry) 6.4)!

!

©"2013"MATHEMATICS"VISION"PROJECT"|"MVP"In"partnership"with"the"Utah"State"Office"of"Education"""

Licensed!under!the!Creative!Commons!Attribution4NonCommercial4ShareAlike!3.0!Unported!license"

!

!"

!

!!

13.!! 14.!!

!!

!'Go'Topic:!Similarity!of!slope!triangles.!!Each'line'below'has'several'triangles'that'can'be'used'to'determine'the'slope.'Draw'in'three'slope'defining'triangles'of'different'sizes'for'each'line'and'then'create'the'ratio'of'rise'to'run'for'each.'15.! 16.!

!!

!

17.! 18.!!

!

!!

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