SOLUTION: Here is the graph: https://vallejocity.owschools.com/media/g_geo_ccss_2016/10/geo_10_9_assess_grid_6.gif Quadrilateral PQRS is mapped onto its image using which of the followin

Question 1091729: Here is the graph: https://vallejocity.owschools.com/media/g_geo_ccss_2016/10/geo_10_9_assess_grid_6.gif
Quadrilateral PQRS is mapped onto its image using which of the following sets of transformations?
A.) reflection across x = -2; clockwise rotation of 90� about the origin
B.) reflection across x = 2; clockwise rotation of 90� about the origin
C.) reflection across y-axis; counter-clockwise rotation of 90� about the origin
D.) reflection across y-axis; clockwise rotation of 90� about the origin
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
it looks very much like a reflection about the line x = -2 and a clockwise rotation of 90 degrees about the origin.

you should do this in two steps.

first do the reflection about the line x = -2

do each point separately.

the points are:

P at (-5,5) to (1,5) to (5,-1)
Q at (-2,5) to (-2,5) to (5,2)
R at (-1,1) to (-3,1) to (1,3)
S at (-4,1) to (0,1) to (1,0)

to first translation is the reflection about the line x = -2.

the second translation is a rotation of 90 degrees about the origin.

that would be selection A.

to illustrate, i took the point (-5,5).

the first graph is the reflection of the point (-5,5) about the line x = -2

you can see that the x-coordinate of the point (-5,5) is 3 units to the left of the line x = -2, and the x-coordinate of the point (1,5) is 3 units to the right of the line x = -2.

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the second graph is the rotation of the point (1,5) about the origin.

you can see that the x-coordinate of the point (1,5) becomes the y-coordinate of the point (5,-1) after its sign is reversed.
you can also see that the y-coordinate of the point (1,5) becomes the x-coordinate of the point (5,-1).

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