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TransformationsTranslations
8.10(A) Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane8.10(B) Differentiate between transformations that preserve congruence and those that do not
Translation: __________________________
Orientation: __________________________
PreImage → Image (Prime)
What changed about the shape when it was translated?__________________________________
Direction Words:Up:
Down:
Left:
Right
7 feet
4 ft
6 ft
Thinking out loud______________________________________________
______________________________________________Translates along the y-axis Translates along the x-axis Translates along both axes
A pufferfish swam 2 feet toward the seafloor to escape danger.
_________PreImage Coordinates_________Direction_________Axis_________Image Coordinates
y
x
1 2 3 4 5 6 7
-1
-2
-3
-4
-5
-6
Boah ran 6 feet to catch a dog bone.
y
x
1 2 3 4 5 6 7
-1
-2
-3
-4
-5
-6
y
x
1 2 3 4 5 6 7
3
2
1
-1
My sister jumped a 2 ft hurdle that was 5 ft away from the starting line.
Transformations Translations
a
b c
a’
b’ c’
TEKS - We Do
You Try
_________PreImage Coordinates_________Direction_________Axis_________Image Coordinates
_________PreImage Coordinates_________Direction_________Axis_________Image Coordinates
Name
8.10(A) Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane8.10(B) Differentiate between transformations that preserve congruence and those that do not
Transformations Translations
Questions I created….
Translations are…..
1. Translate the shape 13 units north and 8 units left
2. Translate the shape 8 units south
p
q
rs
t
TEKS - You DoName
8.10(A) Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane8.10(B) Differentiate between transformations that preserve congruence and those that do not
Translation: __________________________
Orientation: __________________________
PreImage → Image (Prime)
What changed about the shape when it was translated?__________________________________
Direction Words:Up:
Down:
Left:
Right
7 feet
4 ft
6 ft
Thinking out loud______________________________________________
______________________________________________Translates along the y-axis Translates along the x-axis Translates along both axes
A pufferfish swam 2 feet toward the seafloor to escape danger.
_________PreImage Coordinates_________Direction_________Axis_________Image Coordinates
y
x
1 2 3 4 5 6 7
-1
-2
-3
-4
-5
-6
Boah ran 6 feet to catch a dog bone.
y
x
1 2 3 4 5 6 7
-1
-2
-3
-4
-5
-6
y
x
1 2 3 4 5 6 7
3
2
1
-1
My sister jumped a 2 ft hurdle that was 5 ft away from the starting line.
Transformations Translations
a
b c
a’
b’ c’
TEKS - We Do
You Try
_________PreImage Coordinates_________Direction_________Axis_________Image Coordinates
_________PreImage Coordinates_________Direction_________Axis_________Image Coordinates
Answer Key
Sliding a figure along a straight line
a is above b and both are to the left of c
Nothing changed - Congruence is preserved
Answers will vary. Students should note what is tranforming
Answers will vary. North, Float, Rise...
Answers will vary. South, Sink...
Answers will vary. West...
Answers will vary. East...
(2, -2)
Downy
(2, -4)
(1,0)Right
x(7, 0)
(0, 0)Right and up
x and y(5, 2)
8.10(A) Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane8.10(B) Differentiate between transformations that preserve congruence and those that do not
Transformations Translations
Questions I created….
Translations are…..
1. Translate the shape 13 units north and 8 units left
2. Translate the shape 8 units south
p
q
rs
t
TEKS - You Do
p’
q’
r’
s’
t’
