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1.2 Transformations and Symmetry Learning Objective: To identify and perform transformations and to...
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1.2 Transformations and Symmetry Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations. Warm-up (IN)
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Transcript of 1.2 Transformations and Symmetry Learning Objective: To identify and perform transformations and to...
1.2 Transformations and SymmetryLearning Objective: To identify and perform transformations and to describe
movement and patterns in real life situations.
Warm-up (IN)
Notes
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
Transformation – A change made to the size or shape of a figure
Image – The new figure, as a result of a transformation
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
3 types of Transformations –
Reflection –
Flips a figure over a line
Translation – Slides each point of a figure the same distance in the same direction
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
Rotation – Every point of the figure moves along a circular path around a fixed point, called the center of rotation.
Try a few! Are the following transformations reflections, rotations or translations??
Reflection, Rotation, or Translation
1.
Reflection, Rotation, or Translation
2.
Reflection, Rotation, or Translation
3.
Reflection, Rotation, or Translation
4.
Reflection, Rotation, or Translation
5.
Reflection, Rotation, or Translation
6.
Reflection, Rotation, or Translation
7.
Reflection, Rotation, or Translation
8.
Reflection, Rotation, or Translation
9.
Why is this not perfect reflection?
10.
Reflection, Rotation, or Translation
11.
Reflection, Rotation, or Translation
12.
Reflection, Rotation, or Translation
13.
Reflection, Rotation, or Translation
14.
Reflection, Rotation, or Translation
15.
Reflection, Rotation, or Translation
16.
Reflection, Rotation, or Translation
17.
Reflection, Rotation, or Translation
18.
Reflection, Rotation, or Translation
19.
Reflection, Rotation, or Translation
20.
Reflection, Rotation, or Translation
21.
Reflection, Rotation, or Translation
22.
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
Ex 1 – Perform each operation to the shape.
a. Reflect it over the line
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
b. Rotate it clockwise 90º about the point
c. Translate it to the right
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
Ex 2 – How do the coordinates of the points on a triangle change when you translate the triangle down?.
A(0,1), B(5,1), C(0,4)
A’(
“A prime” - image
0,-5) B’(5,-5) C’(0,-2)
Triangle shifted down 6 units and the y-coor. decreased by 6!
What about if you shifted it up?
Left and right?
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
Symmetry – A figure has symmetry if the figure and its image coincide after a transformation.
3 types of Symmetry –
Reflectional –
Rotational –
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
Translational –
Ex 3 – Describe each objects symmetry.
a.Rotational and reflectional
Learning Objective: To identify and perform transformations and to describe movement and patterns in real life situations.
b.Translational and reflectional
HW – you’ll find out next class!
Out – How can you tell whether a figure has symmetry?
Summary – I see things with symmetry all the time, such as…
POW!!
