7. the vertices of a triangle are p(-7 -4) q(-7,-8 and r(3,-3) name the vertices of the image reflected across the line y=x

A. P'(4,7),Q'(8,7),R'(3,-3)
B. P'(4,-7),Q'(8-7),R'(3,3)
C. P'(4-7),Q'(-8,-7),R(-3,3)
D. P'(-4,7),Q'(-8,7),R'(-3,-3)

I really need HELP

5 answers

anyone???

PLEASE i really need help

reflection through the line y=x moves

(x,y) -> (y,x)

So, it looks like C with a typo.

I mean, geez, did you try actually plotting a point and seeing what happened if you flipped it over the line y=x?

or maybe googling reflections?

http://www.regentsprep.org/regents/math/geometry/gt1/reflect.htm

did you get the right answer?

To find the vertices of the image reflected across the line y=x, you need to switch the x and y coordinates of each vertex of the original triangle.

Let's start with vertex P(-7, -4):
The x-coordinate becomes the y-coordinate, and the y-coordinate becomes the x-coordinate. So, P' will have the coordinates ( -4, -7).

Next, vertex Q(-7, -8):
Again, we switch the x and y coordinates, so Q' will have the coordinates (-8, -7).

Lastly, vertex R(3, -3):
Similarly, we switch the x and y coordinates, resulting in R' having the coordinates (-3, 3).

Therefore, the correct answer is option B. P'(4, -7), Q'(8, -7), R'(3, 3).