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.

Question

lesya [120]

2 years ago

8

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.

I need this explained cause i dont understand how to solve for it.

Mathematics

1 answer:

Aleksandr-060686 [28] · Answer 1 · 2022-07-25T20:01:06+03:00

The answers are:
P ' = (-4,-7)
Q ' = (-8,-7)
R ' = (-3,3)

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All you do is swap the x and y coordinates of the given points P, Q and R

The general rule is (x,y) ---> (y,x)

So that's why something like P = (-7,-4) becomes P ' = (-4,-7) when we reflect over the line y = x. The other points are handled the same way.