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Circles: a Geometric Perspective 7.1 © 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: Scale factor, center of dilation For each pre2image and image determine the scale factor between the to figures. 1. Scale Factor: 2. Scale Factor: 3. Scale Factor: 4. Scale Factor: Each pre2image below is the result of a dilation. For each pair of figures given determine the coordinates for the center of dilation. 5. Center of dilation: 6. Center of dilation: 7. Center of dilation: Name: 2013 www.flickr.com/photos/theknowlesgallery 6

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Page 1: Name:! Circles:)a)Geometric)Perspectivehelpmeteach.weebly.com/uploads/1/7/1/0/17102056/im_ii_mod_7.1_r… · Circles:)a)Geometric)Perspective)))))7.1) )!! ©"2013"MATHEMATICS"VISION"PROJECT"|"MVP"

Circles:)a)Geometric)Perspective))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))7.1)!

!

©"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:!Scale!factor,!center!of!dilation!!For'each'pre2image'and'image'determine'the'scale'factor'between'the'to'figures.'1.!

!Scale!Factor:!!

2.!!!

!Scale!Factor:!

3.!

!Scale!Factor:!

4.!!

!Scale!Factor:!!Each'pre2image'below'is'the'result'of'a'dilation.'For'each'pair'of'figures'given'determine'the'coordinates'for'the'center&of&dilation.''5.!

!Center!of!dilation:!

6.!!!

!Center!of!dilation:!

7.!!

!Center!of!dilation:!

''

Name:!

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

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Page 2: Name:! Circles:)a)Geometric)Perspectivehelpmeteach.weebly.com/uploads/1/7/1/0/17102056/im_ii_mod_7.1_r… · Circles:)a)Geometric)Perspective)))))7.1) )!! ©"2013"MATHEMATICS"VISION"PROJECT"|"MVP"

Circles:)a)Geometric)Perspective))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))7.1)!

!©"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:!Finding!the!center!or!rotation.!!!In'each'figure'find'and'mark'at'least'four'possible'centers'of'rotation'that'would'work'for'rotating'the'image'point'to'the'pre2image'point.!!8.!!!!

!Centers!of!rotation:!

9.!!

!Centers!of!rotation:!

10.!

!Centers!of!rotation!

!''''In'each'figure'below'a'rotation'was'done'to'produce'the'image,'find'the'center'of'rotation.''12.!

!Center!of!rotation:!

13.!

!Center!of!rotation:!

14.!

!!Center!of!rotation!

''''''

7

Page 3: Name:! Circles:)a)Geometric)Perspectivehelpmeteach.weebly.com/uploads/1/7/1/0/17102056/im_ii_mod_7.1_r… · Circles:)a)Geometric)Perspective)))))7.1) )!! ©"2013"MATHEMATICS"VISION"PROJECT"|"MVP"

Circles:)a)Geometric)Perspective))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))7.1)!

!

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

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

!

!"

!

!!

Go'Topic:!Finding!circumference!and!area!for!circles.!!Find'the'area'and'circumference'of'the'given'circles.''15.! 16.!

!!

!!17.!!Find!the!circumference!and!area!for!the!circles!below!and!compare!the!results!carefully!!!!!!!!!!!!!!!!

Radius! 1m! 2m! 3m!

Area! ! ! !

Circumference! ! ! !!How!do!they!compare?!

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