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.
help!!
The answer is C. Just took the test.
The choices are
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)
but I think its "c"
To find the vertices of the image reflected across the line y=x, you need to swap the x-coordinates with the y-coordinates for each vertex.
Given the vertices of the original triangle:
P(-7, -4), Q(-7, -8), and R(3, -3)
To reflect across the line y=x:
1. Swap the x and y coordinates for each vertex.
Swapping x and y coordinates for P(-7, -4):
P' = (-4, -7)
Swapping x and y coordinates for Q(-7, -8):
Q' = (-8, -7)
Swapping x and y coordinates for R(3, -3):
R' = (-3, 3)
Therefore, the vertices of the triangle after reflection across the line y=x are:
P'(-4, -7), Q'(-8, -7), and R'(-3, 3).
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