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Line AB is rotated to form ​ A'B'¯¯¯¯¯¯¯ ​.


The coordinates of point A are (1,5) and the coordinates of point B are (−6,4) .


Which rotation around the origin results in the transformation of ​ AB¯¯¯¯¯ ​ to form​ A'B'¯¯¯¯¯¯¯ ​?




Select from the drop down arrow to choose the correct rotation.


A.rotation of 90

B.rotation of 180

C.rotation of 270

Line AB is rotated to form A B . The coordinates of point A are (1,5) and the coordinates of point B are ( 6,4) . Which rotation around the origin results in th class=

Verified Answer :

The answer is B. I just took the test. 

I hope this helps! :)

The rotation around the origin results in the transformation of ​ AB to form​ A'B' would be 180.

How does rotation by 90 degrees changes the coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in the first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 2: If the point is in the second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 3: If the point is in third quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 4: If the point is in the fourth quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 5: On the origin

No effect as we assumed rotation is being with respect to the origin.

Line AB is rotated to form ​ A'B' ​.

The coordinates of point A are (1,5) and the coordinates of point B are (−6,4).

The rotation around the origin results in the transformation of ​ AB to form​ A'B' would be 180.

Learn more about the rotation of a point with respect to origin here:

https://brainly.com/question/18856342

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