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PLATO Course Math 8, Unit Activity Transformations: Preston says the sequence of transformations that maps triangle ABC onto triangle DEF is: rotate it 180 degrees about the origin, and then translate it up 7 units.


Chanel says the sequence of transformations that maps triangle ABC onto triangle DEF is: reflect it across the x-axis, then reflect it across the y-axis, and then translate it up 6 units and left 1 unit.


Complete a table to find the rule for the rotation, the coordinates of triangle ABC, and the coordinates of the rotated image, triangle A′B′C′. Please put the letter before the coordinates.

Please Answer PLATO Course Math 8 Unit Activity Transformations Preston Says The Sequence Of Transformations That Maps Triangle ABC Onto Triangle DEF Is Rotate class=

Sagot :

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Answer:

A (-4,5) B (-3,1) C (-5,2) D (3,1) E (2,5) F(4,4)

Step-by-step explanation:

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Transformation involves changing the position of a shape.

The transformation rule is: [tex]\mathbf{(x,y) \to (-x - 1,-y + 6)}[/tex]

From the graph, we have the following points

[tex]\mathbf{A = (-4,5)}[/tex]

[tex]\mathbf{B = (-3,1)}[/tex]

[tex]\mathbf{C = (-5,2)}[/tex]

First, triangle ABC is reflected across the x and y axes.

So, we have:

[tex]\mathbf{(x,y) \to (-x,-y)}[/tex]

Next, the points are shifted up by 6 units, and left by 1 unit.

So, we have:

[tex]\mathbf{(x,y) \to (-x - 1,-y + 6)}[/tex]

Apply the above transformation rule on ABC, we have:

[tex]\mathbf{C = (4 - 1,-5 + 6) = (3,1)}[/tex]

[tex]\mathbf{D = (3 - 1,-1 + 6) = (2,5)}[/tex]

[tex]\mathbf{E = (5 - 1,-2 + 6) = (4,4)}[/tex]

Hence, the transformation rule is: [tex]\mathbf{(x,y) \to (-x - 1,-y + 6)}[/tex]

And the image of the transformation are:

[tex]\mathbf{D = (3,1)}[/tex]    [tex]\mathbf{E = (2,5)}[/tex]   [tex]\mathbf{F = (4,4)}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700

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