You are watching: Which sequence of transformations will result in an image that maps onto itself

Option C.

Step-by-step explanation:

Let a suggest (x, y) has actually a sequence of transformations,

Option A).

Reflects across x-axis then the collaborates will be,

(x, y) → (x, -y)

Then reflects throughout the y-axis,

(x, -y) → (-x, -y)

Image (x, y) gets changed to (-x, -y) therefore, allude (x, y) doesn"t map onto itself.

Option B).

(x, y) rotate 90° counter clockwise around the origin.

(x, y) → (-y, x)

Then reflect throughout x-axis,

(-y, x) → (y, x)

Since collaborates of the image and the actual space not exact same therefore, photo doesn"t map itself.

Option C).

(x, y) when reflected throughout x-axis,

(x, y) → (x, -y)

Then reflected end the x-axis,

(x, -y) → (x, y)

In this option suggest (x, y) maps onto itself after this transformations.

Option D).

(x, y) rotated 90°counterclockwise around the beginning

(x, y) → (-y, x)

Then translated up by 2 units.

(-y, x) → (-y, x+2)

Therefore, (x, y) gets changed after this transformations and also doesn"t maps itself.

Option (C) will certainly be the answer.

Answer from: h2o12

The sequence the will result in picture maps into itself is:D ) reflect over the y-axis and also then reflect again end the y-axis.

Answer from: kay4173

You simply need come reflect throughout from the x-axis then reflect it again unit you have actually the map.

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