There are 500 students at Jacob's school. Jacob wants to conduct a survey of the students at his school to determine the level o
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Answer:
W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)
Kindly check the attached image for more reference
Step-by-step explanation:
Given points of WXYZ <em>( can be identified by looking at the graph ) </em>
- W : (14,10)
- X : (12,4)
- Y : (6,6)
- Z : (8,12)
<u>Applying translation 3 units left , 15 units down</u>
(<em>Note when shifting left , you subtract from the x value , when shifting down, you subtract from the y value.</em>)
Rule for translation (x,y) ===> ( x - 3 , y - 15 )
<em>Applying translation to given points</em>
- W : (14,10) ===> (14-3,10-15) ===> (11,-5)
- X : (12,4) ===> (12-3,4-15) ===> (9,-11)
- Y : (6,6) ===> (6-3,6-15) ===> (3,-9)
- Z : (8,12) ===> (8-3,12-15) ===> (5,-3)
<u>Applying rotation 270° counterclockwise around the origin </u>
Rotation 270° clockwise rule : (x,y) ===> (y,-x)
Explanation of rule , change the sign of the x values, then swap the x and y values places.
<em>Applying rotation rule to points </em>
- W : (11,-5) ===> (y,-x) ===> (-5,-11)
- X : (9,-11) ===> (y,-x) ===> (-11,-9)
- Y : (3,-9) ===> (y,-x) ===> (-9,-3)
- Z : (5,-3) ===> (y,-x) ===> (-3,-5)
So the final points of square WXYZ after the two transformations would be W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)
To see this graphed, kindly view the attached image.
The red square represents the square before any transformations
The blue square represents the square following the translation
And the black square represents the coordinates of the square after the full transformation including both the translation and the rotation .
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