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.

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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