The answer come your inquiry would be reflect over the y axis and then reflect again end the y axis.

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

Option C.

Step-by-step explanation:

Let a point (x, y) has actually a succession of transformations,

Option A).

Reflects throughout x-axis climate the coordinates will be,

(x, y) → (x, -y)

Then reflects across the y-axis,

(x, -y) → (-x, -y)

Image (x, y) gets readjusted to (-x, -y) therefore, allude (x, y) doesn"t map ~ above itself.

Option B).

(x, y) turn 90° respond to clockwise about the origin.

(x, y) → (-y, x)

Then reflect throughout x-axis,

(-y, x) → (y, x)

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

Option C).

(x, y) once 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 chin after this transformations.

Option D).

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

(x, y) → (-y, x)

Then interpreted up through 2 units.

(-y, x) → (-y, x+2)

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

Option (C) will be the answer.

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

You just need to reflect throughout from the x-axis then reflect the again unit you have the map.

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