contestada

Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1). What are the coordinates of point S'?

Respuesta :

7957344

Answer:

D. (2, -1)

Step-by-step explanation:

I took the test and got it right.

Ver imagen 7957344

Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1). So, the coordinates of point S will be (2, -1).

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

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

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

If the point is in the second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Triangle QRS is rotated 180° about the origin.

On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1).

So, the coordinates of point S will be (2, -1).

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

https://brainly.com/question/18856342

#SPJ2

Otras preguntas