The change which is indistinguishable to rotating a number

counterclockwise is reflecting over the -axis and -axis. Therefore, the is**correct**.

You are watching: Which transformation will be equivalent to rotating a figure 180° counterclockwise?

**Further explanation:**

Consider a coordinate in the form

whereby and also are**real numbers**.

If

and are optimistic then the allude lies in the first quadrant.If we revolve the coordinate

**counterclockwise**then the coordinates end up being .

The coordinate

lies in the**third quadrant**.

If we reflect the name: coordinates

around the -axis then the coordinates become .The coordinate

lies in the**fourth quadrant**.

If us reflect the name: coordinates

around the -axis then the coordinates end up being .The coordinate

lies in the**third quadrant**.

This means that rotating a figure

counterclockwise is indistinguishable to change of reflecting over -axis and reflecting over -axis.**Option (A)**

In **option (A)** it is provided that reflection around the line

If we reflect the coordinate

about the heat then the coordinates come to be .This is not same as rotating the number

counterclockwise.Therefore, the **option (A)** is **incorrect**.

**Option (B)**

In **option (B)** the is offered that reflection about

If we reflect the coordinate

about the line then the coordinates become .This is not exact same as rotating the number

counterclockwise.Therefore, the **option (B)** is **incorrect**.

**Option (C)**

In **option (C)** the is given that reflection around

If us reflect the name: coordinates

about -axis and -axis then the coordinates end up being .This is exact same as rotating the figure

counterclockwise.Therefore, the **option (C)** is **correct**.

**Option (D)**

In **option (D)** it is given that shifting a allude

If we change the allude

, systems left and also units down the name: coordinates is .This is not same as rotating the figure

counterclockwise.Therefore, the **option (D)** is **incorrect**.

Therefore, the

is**correct**.

**Learn more**

**1.** Learn more about the rotation of the triangle around the beginning brainly.com/question/7437053.

**2.** Learn more about once a triangle is rotated about the origin brainly.com/question/2992432.

**historicsweetsballroom.com details:**

**Grade:** High school

**Subject:** Mathematics

**Chapter:** Geometry

**Keywords:** Transformation, rotation, reflection, clockwise, geometry, counterclockwise, -axis, - axis, coordinates, graph, origin, line, degrees, translation, symmetry.

If we have given coordinates of the photo are in type (h,k).

The resulting works with of photo rotation of 180° around the beginning would be (-h,-k).

We have rule (h,k) ---> (-h,-k).

We deserve to see the x-coordinate is being multiplied through -1 and also then y-coordinate is also being multiply by -1.

Above rule could be break into two parts.

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### (h,k) ---> (-h,k) ----> (-h,-k).

We have the right to see in an initial step, (h,k) ---> (-h,k) is being reflecting over the x-axis and