Quadrilateral PQRS is rotates 90• clockwise about the origin to form quadrilateral P’Q’R’S’. What is the y-coordinate of point P’?

Quadrilateral PQRS is rotates 90 clockwise about the origin to form quadrilateral PQRS What is the ycoordinate of point P class=

Respuesta :

Answer:

the y-ordinate of P' is 1

Step-by-step explanation:

(see attached)

Let's label the origin O.

we are told that quadrilateral PQRS is rotated 90 degrees clockwise (i.e to the left) and the center of rotation is the origin (0,0)  which we now call "O".

What this results in is the new quadrilateral P'Q'R'S'  (i have drawn this in the attached picture).

We can clearly see that point P (-1,-2), after undergoing a 90deg clockwise rotation will result in P' (2,1)

hence the y-ordinate of P' is 1

Ver imagen marcthemathtutor

The coordinates of point P(-1,2) after the rotation of 90 degrees about the origin becomes P'(-2,-1) and this can be determined by using the rules of transformation.

Given :

Quadrilateral PQRS is rotated 90• clockwise about the origin to form quadrilateral P’Q’R’S’.

The following steps can be used in order to determine the y-coordinate of point P’:

Step 1 - The rules of transformation, can be used in order to determine the y-coordinate of point P’.

Step 2 - So, according to the rules of transformation any point (x,y) is rotated 90 degrees about origin then that point becomes (-y,x).

Step 3 - So, coordinates of point P(-1,2) after the rotation of 90 degrees about the origin becomes P'(-2,-1).

For more information, refer to the link given below:

https://brainly.com/question/11709244