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

is tantamount to rotating a number
counterclockwise.

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

is equivalent to rotating a number
counterclockwise.

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

-axis and also
-axis is tantamount to rotating a number
counterclockwise.

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

devices left and also
units down is indistinguishable to rotating a figure
counterclockwise.

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.

See more: Watch Sailor Moon A Crystal Clear Destiny " Or At Least The "My Only Love"

### (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