18.1 Congruence and Similarity p.394 Quick Review Quick Review Objective: to learn how to use translations, rotations, and reflections to transform geometric

18.1 Congruence and 18.1 Congruence and SimilaritySimilarity

p.394p.394

18.1 Congruence and 18.1 Congruence and SimilaritySimilarity

p.394p.394

Quick Quick ReviewReview

ObjectiveObjective: : to learn how to use to learn how to use translationstranslations, , rotationsrotations, and , and reflectionsreflections to transform geometric to transform geometric

shapesshapes

VocabularyVocabulary: :

1.1. transformationtransformation = = change change movementmovement of a shape without changing the size or shape of a shape without changing the size or shape

2.2. translationtranslation = “slide” = “slide” figure along a straight line figure along a straight line

3.3. rotationrotation = “turn” = “turn” figure around a point figure around a point

4.4. reflectionreflection = “flip” = “flip” figure over a line figure over a line

Guided LearningGuided Learning::

1.1. Review Review divisibility rulesdivisibility rules (slide 2) (slide 2)

2.2. Review Review EXAMPLES A. and B.EXAMPLES A. and B. -- -- How did you decide 610 was not divisible by 3?How did you decide 610 was not divisible by 3?


ObjectiveObjective: : to learn how to use to learn how to use translationstranslations, , rotationsrotations, and , and reflectionsreflections to transform geometric to transform geometric

shapesshapes


1.1. transformationtransformation = = change change movementmovement of a shape without changing the size or shape of a shape without changing the size or shape

2.2. translationtranslation = “slide” = “slide” figure along a straight line figure along a straight line

3.3. rotationrotation = “turn” = “turn” figure around a point figure around a point

4.4. reflectionreflection = “flip” = “flip” figure over a line figure over a line



2.2. Review Review EXAMPLES A. and B.EXAMPLES A. and B. -- -- How did you decide 610 was not divisible by 3?How did you decide 610 was not divisible by 3?Harcourt Math Glossary Practice transformations Tessallations Slideshow How to Escher Tessellate

http://www.hbschool.com/glossary/math2/index6.html

http://math.pppst.com/transformations.html

http://www.youtube.com/watch?v=5-3tOa9CPb0

http://www.youtube.com/watch?v=212XC1zfxXY&feature=related

Tessellation ProjectTessellation ProjectTessellation ProjectTessellation Project

•1. Draw on the “1. Draw on the “NorthNorth” edge” edge

•2. Draw on the “2. Draw on the “EastEast” edge” edge

•3. Cut out carefully edge 3. Cut out carefully edge #1#1 and tape to the and tape to the

““SouthSouth”edge”edge


““WestWest” edge” edge

**TraceTrace starting from the center of your white sheet of paper and repeat starting from the center of your white sheet of paper and repeat

tessellation until paper is filled out.tessellation until paper is filled out.

*Add to every other tessellation pattern one of the following: *Add to every other tessellation pattern one of the following: texture texture

rubbing, patternrubbing, pattern (i.e. dots, stars, stripes, face, etc.) (i.e. dots, stars, stripes, face, etc.)

*Let the remainder of your patterns be a *Let the remainder of your patterns be a ONEONE solid color solid color

•1. Draw on the “1. Draw on the “NorthNorth” edge” edge

•2. Draw on the “2. Draw on the “EastEast” edge” edge


““SouthSouth”edge”edge


““WestWest” edge” edge

**TraceTrace starting from the center of your white sheet of paper and repeat starting from the center of your white sheet of paper and repeat

tessellation until paper is filled out.tessellation until paper is filled out.

*Add to every other tessellation pattern one of the following: *Add to every other tessellation pattern one of the following: texture texture

rubbing, patternrubbing, pattern (i.e. dots, stars, stripes, face, etc.) (i.e. dots, stars, stripes, face, etc.)

*Let the remainder of your patterns be a *Let the remainder of your patterns be a ONEONE solid color solid color

1 - draw

3 - tape

2 - draw4 - tape

by D. Fisher

Geometric Transformations

Reflection, Rotation, or Translation1.









Why is this not perfect reflection?

10.













The End

18.2 Tessellations18.2 Tessellations p.397p.397

18.2 Tessellations18.2 Tessellations p.397p.397


ObjectiveObjective: : to learn how to use polygons to make tessellations and how to make to learn how to use polygons to make tessellations and how to make

figures for tessellations.figures for tessellations.


1.1. tessellationtessellation = = repeating arrangement of shapes completely covering a plane w/ NO repeating arrangement of shapes completely covering a plane w/ NO

gaps or overlapsgaps or overlaps



2.2. Review Review EXAMPLES A. and B.EXAMPLES A. and B. -- -- How did you decide 610 was not divisible by 3?How did you decide 610 was not divisible by 3?


ObjectiveObjective: : to learn how to use polygons to make tessellations and how to make to learn how to use polygons to make tessellations and how to make

figures for tessellations.figures for tessellations.


1.1. tessellationtessellation = = repeating arrangement of shapes completely covering a plane w/ NO repeating arrangement of shapes completely covering a plane w/ NO

gaps or overlapsgaps or overlaps



2.2. Review Review EXAMPLES A. and B.EXAMPLES A. and B. -- -- How did you decide 610 was not divisible by 3?How did you decide 610 was not divisible by 3?Harcourt Math Glossary Practice Tessellations Tessellations Slideshow How to Escher TessellateEscher Examples


http://nlvm.usu.edu/en/nav/category_g_2_t_3.html

http://www.youtube.com/watch?v=5-3tOa9CPb0

http://www.youtube.com/watch?v=212XC1zfxXY&feature=related

http://www.youtube.com/watch?v=h2AWKgU0cN4&feature=related

18.4 Symmetry18.4 Symmetry p. 402p. 402

18.4 Symmetry18.4 Symmetry p. 402p. 402


ObjectiveObjective: : to learn how to identify to learn how to identify line symmetryline symmetry and and rotational rotational

symmetrysymmetry


1.1. line symmetryline symmetry = = can be folded or reflected so that the two parts matchcan be folded or reflected so that the two parts match

2.2. line of symmetryline of symmetry = = the line across which the figure is “symmetric”the line across which the figure is “symmetric”

3.3. rotational symmetryrotational symmetry = = can be rotated can be rotated less thanless than 360360 degrees around its degrees around its

center point (i.e. 90, 180, or 270 - not 360!)center point (i.e. 90, 180, or 270 - not 360!)

4.4. point of rotationpoint of rotation = = center pointcenter point


ObjectiveObjective: : to learn how to identify to learn how to identify line symmetryline symmetry and and rotational rotational

symmetrysymmetry


1.1. line symmetryline symmetry = = can be folded or reflected so that the two parts matchcan be folded or reflected so that the two parts match

2.2. line of symmetryline of symmetry = = the line across which the figure is “symmetric”the line across which the figure is “symmetric”

3.3. rotational symmetryrotational symmetry = = can be rotated can be rotated less thanless than 360360 degrees around its degrees around its

center point (i.e. 90, 180, or 270 - not 360!)center point (i.e. 90, 180, or 270 - not 360!)

4.4. point of rotationpoint of rotation = = center pointcenter point

Harcourt Math Glossary Line of Symmetry Tutorial Rotational Symmetry TutorialSymmetry Symmetry Examples in LifeExamples in Life


http://www.youtube.com/watch?v=IfiEtO75nxw

http://www.youtube.com/watch?v=UmPY7JaYAt4

Documents

18.1 Congruence and Similarity p.394 Quick Review Quick Review Objective: to learn how to use translations, rotations, and reflections to transform geometric