unit 5: motion geometry - grade 6 is...
TRANSCRIPT
Unit 5 notes Transformations.notebook
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Unit 5: Motion
GeometryTran
slatio
ns
Rotations
Reflections
Unit 5 notes Transformations.notebook
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TranslationsA translation is also called a "slide." When you slide a shape it keeps its original orientation. It does not turn (rotate) or flip.Every point of the shape moves the same distance and in the same direction. The 2D shape and its image are congruent.
Rectangle A has been translated. How has the position of the rectangle changed?
How has it stayed the same?
How can we describe the movement of Rectangle A?
A
Unit 5 notes Transformations.notebook
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Translations Practice (Website)
Click Here
Unit 5 notes Transformations.notebook
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Describe the translation of Trapezoid A: ________________
• Don't forget to label the vertices of the shape and the corresponding vertices of its image.
• Describe the change in the xcoordinates of the vertices.
• Describe the change in the ycoordinates of the vertices.
A
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A
Describe the translation of Rhombus A.
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A
Describe the translation of Triangle A.
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Move the shapes as directed.Translate the triangle right 3 units and up 5 units.
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Translate the trapezoid left 2 units and down 7 units.
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Translate the parallelogram left 5 units and up 2 units.
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Which shapes below are translations of shape A?How do you know? Describe the translations.
A
A
C
D
B
E
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Reflections • Reflections can be horizontal, vertical, or diagonal.
• No matter where the shape is in relation to the line of reflection, the image is always the same distance from the line as the original shape.
• The shape and its image are of opposite orientation and are congruent.
Reflection ABC using the given line of reflection.
A
B C
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Move the shape as directed.Reflect the triangle up across the given line of reflection.
R
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T
• Describe the change in the xcoordinates of the vertices.
• Describe the change in the ycoordinates of the vertices.
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Move the shape as directed.Reflect the triangle across the given line of reflection.
• Describe the change in the xcoordinates of the vertices.• Describe the change in the ycoordinates of the vertices.
E
F G
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Move the shape as directed.Reflect the triangle across the given line of reflection.
• Describe the change in the xcoordinates of the vertices.• Describe the change in the ycoordinates of the vertices.
A
B C
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Now you try it! Move the shape as directed.
Reflect the triangle across the given line of reflection. • Label the vertices of the image.• Describe the orientation.• Describe the distance of the image from the line of reflection.
A
B C
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RotationsWhen describing a rotation, your description should include:• Amount of rotation: Can be in degrees (e.g., 90) or fractions (e.g., 1/4 turn)• Direction of turn: Clockwise (cw) or counter clockwise (ccw)• The center of rotation (e.g., center of rotation is D (5, 2)
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F All vertices move together in the same direction. The shape and its resulting image are congruent. The orientation of the shape and its image are different.
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Rotations Practice (Website)
Click Here
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Rotations
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B C
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9 Rotate ABC 1/4 (90 ) turn clockwise about (4, 3). Write the vertices of the rotated image.
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Rotations
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9Rotate ABC 1/2 (180 ) turn clockwise about (3, 3). Write the vertices of the rotated image.
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Rotations
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9Rotate ABC 3/4 (270 ) turn clockwise about (2, 6). Write the vertices of the rotated image.
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Combining Like Transformations: TranslationsTranslate JKL 3 units right and 4 units down (R3, D4). Then, translate J K L 2 units left and up 1 unit (L2, U1).
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Combining Like Transformations: ReflectionsReflect QRS across the line of reflection from (5, 1) to (5, 4). Then, reflect Q R S across the line of reflection from (5, 6) and (5, 9).
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Combining Like Transformations: RotationsRotate ABC 1/4 turn counterclockwise about (6, 4). Then, rotate A B C 1/2 turn clockwise about (4, 3).
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B C
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Combining Different TransformationsReflect ABC across the line of reflection between (6, 5) and (6, 8).
Then, translate its image 2 units to the left and 3 units down (L2, 3D).
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B C
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Combining Different TransformationsTranslate LMN 4 units to the right and 1 unit up (R4, U1).
Then, rotate its image 1/4 turn clockwise about (4, 6).
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B C
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