Which transformation maps quadrilateral efgh to quadrilateral qrsp? (see image)

answer: rotation

step-by-step explanation:

in the given picture, we can see that the orientation of quadrilateral changed when it transformed from quadrilateral   efgh to quadrilateral qrsp.

but the size of the quadrilateral remains same because all the corresponding sides of quadrilaterals are congruent.

so there must be a rigid transformation used that preserves the size and shape but changes orientation of the figure.

since rotation is a rigid transformation which changes the orientation of the figure but preserves the size and shape of the figure.

therefore, rotation transformation maps quadrilateral efgh to quadrilateral qrsp.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3