transformations: translation
DESCRIPTION
Transformations: Translation. Unit 4.03. Vocabulary. Translation: A transformation that moves every point in a figure the same distance in the same direction. Example: The blue polygon has been Translated to the right 5 units and up 4 units (landing on the red polygon). Vocabulary. - PowerPoint PPT PresentationTRANSCRIPT
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Transformations: Translation
Unit 4.03
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Vocabulary Translation: A transformation that
moves every point in a figure the same distance in the same direction.
Example: The blue polygon has been Translated to the right 5 units and up 4 units (landing on the red polygon).
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Vocabulary Translation Notation: You can identify
the direction and distance of a translation (aka the translation rule) without seeing a picture of it, simply by writing it in translation notation!
Example:
Blue Red
(x, y) (x+5, y+4)
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You Try It!
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The translation rule of the BLUE triangle, ΔABC, to the RED triangle, ΔA’B’C’ in Transformation Notation is given.
Write what is happening in
words.
1)
(x, y) (x–4, y+5)
ΔABC was moved left 4 units and up 5 units.
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The translation rule of the BLUE square, SERQ, to the RED square, S’E’R’Q’ in Transformation Notation is given.
Write what is happening in
words.(x, y) (x–2, y+3)
2)
Square SERQ was moved 2 units to the left and 3 units up.
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The translation rule of the BLUE triangle, ΔTRI, to the RED triangle, ΔT’R’I’ in Transformation Notation is given.
Write what is happening in
words.
(x, y) (x+6, y–4)
3)
ΔTRI was moved to the right 6 units and down 4 units.
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Graph the Image of ΔABC according to the given information below:
A(5,5), B(-1,4), C(3,0) and
4)
(x,y) (x–2,y–3) A
C
B
A’B’
C’
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Without graphing ΔABC, find the coordinates of ΔA’B’C’ according to the information given below:
A(-3,5), B(1,2), & C(5,4) and
5)
(x,y) (x+4,y–5)
A’(1,0), B’(5,-3), & C’(9,-1)
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Vocabulary Transformation (Prime) Notation
cont.: In transformation notation, the use of (‘) designates the translated (moved) Image. Repeated transformations result in (“) and even (“’) being used! (prime, double prime, triple prime) Example: Let’s See how much you know!
1) If A(2, 4) and (x,y)(x+2,y-2), what is A’?
2) * What would A” be?
(4,2)(6,0)
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Put It All
Together!
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6) Move ΔABC 5 units to the left and 3 units up. List the coordinates below.
(6, 5)A: _____________
B: _____________
C: ____________
A’: ____________
B’: ____________
C’: ____________
(5, -5)
(-2, 1)
(1, 8)
(0, -2)
(-7, 4)
A
B
C
A’
B’
C’
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7) Move ΔPQR 6 units down and 4 units to the right. List the coordinates below.
(-5, 7)P: _____________
Q: ____________
R: ____________
P’: ____________
Q’: ____________
R’: ____________
(-2, 4)
(-9, 2)
(-1, 1)
(2, -2)
(-5, -4)
P
Q
RP’
Q’
R’
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8) Move ΔXYZ 10 units down and 3 units to the right. Draw both images and list the missing coordinates below.
(1, 9)X: _____________
Y: _____________
Z: ____________
X’: ____________
Y’: ____________
Z’: ____________
(1, 5)
(-9, 2)
(4, -1)
(4, -5)
(-6, -8)
X
Y
Z
X’
Y’
Z’
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9) Describe the translation shown below in words. ΔJKL ΔJ’K’L’
K
L
J
K’
L’
J’
ΔJKL was moved 4 units to the left and
7 units up!
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Homework Time Slide It! -- Translations WS