Warm Up
Read p373 & complete 7.3 vocabulary
Composition – Applying more than one
transformation to a figure
translation
reflection
reflection
reflection &
translation
rotation
6. When x or y change places or signs = reflections
A constant being added or subtracted = translations
Both x and y change signs = rotation
7. (x, y) →(x, -y)
8. (x, y) →(-x, -y)
7.3 Compositions of Transformations
Review
Is this a Rigid Transformation?
Original
Image
No, it changes size
Review
Name the Transformation
Image
Original
Translation
Review
Name the Transformation
Original
Image
Rotation
Review
Name the Transformation
Original
Reflection
Image
Review
Name two types of symmetry
1.
2.
Reflectional
Rotational
Review
The ordered pair rule (x,y) →(-x,y) is a
reflection across the y-axis
The ordered pair rule (x,y) →(x,-y) is a
reflection across the x-axis
The ordered pair rule (x,y) →(-x,-y) is a
rotation about the origin
The ordered pair rule (x,y) →(y,x) is a
reflection across the line y = x
Example
Example
Name the single translation that can replace the
composition of these three translations:
(x, y) →(x+2, y-1), then (x, y) →(x+5, y+7), then
(x, y) →(x-1, y-2).
Name the single translation that can replace the
composition of these three translations: (2, -1),
then (5, 7), then (-1, -2).
p376 #1, 3, 10-13; p383 #17; p397 #8-12
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