jazmionanderson
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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 AB The coordinates of point A are 15 and the coordinates of point B are 64 Which rotation around the origin results in the transforma class=

Respuesta :

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

#SPJ2

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