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у
6
What is the sequence of transformations that maps A ABC to
A A'B'C'?
B
5
4
3
Select from the drop-down menus to correctly identify each step
A
2
А
1
C
Step 1: Choose...
-6-5-4-3-2-13
1 2 3
4 5 6 7 8
A
Step 2: Choose...
-2
-3
<
-5
8
-6

Respuesta :

MrRoyal

The sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units

The vertices of triangle ABC are given as:

[tex]A = (1,9)[/tex]

[tex]B = (3,12)[/tex]

[tex]C =(4,4)[/tex]

The vertices of triangle A"B"C" are given as:

[tex]A" = (3,-3)[/tex]

[tex]B" = (5,-6)[/tex]

[tex]C" =(6,2)[/tex]

Start by reflecting the coordinates of triangle ABC across the x-axis.

The rule of this transformation is:

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

So, we have:

[tex]A' =(1,-9)[/tex]

[tex]B' =(3,-12)[/tex]

[tex]C' =(4,-4)[/tex]

Next, shift triangle A'B'C' 2 units right and 6 units up

The rule of this transformation is:

[tex](x,y) \to (x+2,y+6)[/tex]

So, we have:

[tex]A" = (3,-3)[/tex]

[tex]B" = (5,-6)[/tex]

[tex]C" =(6,2)[/tex]

Hence, the sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units

Read more about transformation at:

https://brainly.com/question/1448141

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