M8 – BPW – Investigation 1 and 2 1 | Page Butterflies, Pinwheels, and Wallpaper Investigation #1 and 2 Symmetry, Transformations and Congruence Name________________________________________________
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M8 – BPW – Investigation 1 and 2
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Butterflies,
Pinwheels, and Wallpaper
Investigation #1 and 2 Symmetry, Transformations and Congruence
Name________________________________________________
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Butterflies, Pinwheels, and Wallpaper
Investigation #1 – Symmetry and Transformations Problem 1.1 – What does it mean to say that a figure has flip or reflectional symmetry? How is each point related to its image under transformation by reflection in a line? Problem 1.2 – What does it mean to say that a figure has turn or rotational symmetry? How is each point related to its image under transformation by rotation? Problem 1.3 – What does it mean to say that a figure has slide or translational symmetry? How is each point related to its image under transformation by translation? Problem 1.4 – How, if at all, will the shape, size, and position of a figure change after each of the transformations—reflection, rotation, or translation?
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1.
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Homework #1:
1. Fill in the blanks with an equivalent math term.
a. Another word for a flip is _________________________.
b. Another word for a slide is __________________________.
c. Another word for a turn is __________________________.
2. Choose the transformation preformed on each of the following.
a.
b.
3. How many lines of symmetry does the following diagram have? _________
4. Quadrilateral ABCD and its image under a counterclockwise
rotation are shown. a. Label A’, B’, C’, D’ on the image.
b. What is the center of rotation? Explain how you know.
H
a. Translation
b. Reflection
c. Dilation
d. Rotation
e.
a. Translation
b. Reflection
c. Dilation
d. Rotation
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Homework #2
1. Determine the number of lines of symmetry for each figure below.
a. ________________________ b. ________________________ c. _________________________
2. Determine all types of symmetry the shape below has. Also determine the basic
design element for each type. a. __________________________ symmetry
b. __________________________ symmetry
3. Which graph(s) at right represent a reflection?
4. Which graph(s) at right represent a
rotation?
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Are the triangles congruent?
Are the triangles congruent?
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Are the triangles congruent?
Are the triangles congruent?
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Are the triangles congruent?
Are the triangles congruent?
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