Triangle DEF is translated 8 units to the right and 6 units up. The result is AD'E'F', as shown below. D E -5 F n T E D' (a) The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to give the coordinates after the translation. original coordinates final coordinates D(-8, -8)→ D' E(-7,-5) → E'D F(-3,-7) → F'D (b) Choose the general rule below that describes the translation mapping ADEF to AD'E'F'. ○(x, y) (x-8, y-6) (x, y) ○ ○ (x, y) → ○ (x, y) ○ (x, y) 9 (x-6, y-8) (x-6, y-8) (x, y) ○ (-8x, -6y) (8x, 6y) ○ (x, y) ○ (x, y) (6x, 8y) (x+6, y+8) (x+8, y+6) (-6x, -8y)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 24E
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Triangle DEF is translated 8 units to the right and 6 units up.
The result is AD'E'F', as shown below.
(a)
D
E
-6
F
D
E
The arrows below show that the coordinates on the left are
mapped to the coordinates on the right. Fill in the blanks to
give the coordinates after the translation.
original coordinates final coordinates
→ D'D
D(-8, −8) →
E(-7,-5)→ E'
F(-3,-7) F'D
(b) Choose the general rule below that describes the translation
mapping ADEF to AD'E'F'.
○ (x, y) (x-8, y-6)
(x, y) → (6x, 8y)
○ (x, y) → (x-6, y-8) ○ (x, y) → (x+6, y+8)
○ (x, y) (-8x, -6y)
(x, y)
(x+8, y+6)
○ (x, y) → (8x, 6y)
○ (x, y) → (-6x, -8y)
Transcribed Image Text:Triangle DEF is translated 8 units to the right and 6 units up. The result is AD'E'F', as shown below. (a) D E -6 F D E The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to give the coordinates after the translation. original coordinates final coordinates → D'D D(-8, −8) → E(-7,-5)→ E' F(-3,-7) F'D (b) Choose the general rule below that describes the translation mapping ADEF to AD'E'F'. ○ (x, y) (x-8, y-6) (x, y) → (6x, 8y) ○ (x, y) → (x-6, y-8) ○ (x, y) → (x+6, y+8) ○ (x, y) (-8x, -6y) (x, y) (x+8, y+6) ○ (x, y) → (8x, 6y) ○ (x, y) → (-6x, -8y)
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