Pentagon OPQRS is shown on the coordinate plane below: If pentagon OPQRS is dilated by a scale factor of from the origin, to create O'P'Q'R'S', what is the ordered pair of point Q'? (4 points)

(-5.25, -3.5)

Step-by-step explanation:

As it is mentioned in the question that a pentagon OPQRS is dilated by a scale factor i.e k arise form the origin to develop O'P'Q'R'S'.

As we know that after considering the dilation of any figure from the center by taking a scale factor i.e k, so the new figure coordinates is

= (kx,ky)

where,

(x,y) = coordinates of the mentioned figure

As we can see from the attached figure that the Q coordinates is (-3,-2)

So, the Q' coordinates are (k2,k5) is

= (-5.25, -3.5)

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.