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.
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" can anyone help me??
To find the vertices of the image reflected across the line y = x, we need to switch the x-coordinates with the y-coordinates of each vertex.
Let's reflect each vertex one by one.
For point P(-7, -4):
Switching the x and y-coordinates: P'(-4, -7)
For point Q(-7, -8):
Switching the x and y-coordinates: Q'(-8, -7)
For point R(3, -3):
Switching the x and y-coordinates: R'(-3, 3)
Therefore, the vertices of the image reflected across the line y = x are P'(-4, -7), Q'(-8, -7), and R'(-3, 3).
To find the vertices of the image reflected across the line y=x, we need to swap the x and y coordinates of each vertex.
Let's go through the process step by step:
1. Start with the given vertices:
- Vertex P: (-7, -4)
- Vertex Q: (-7, -8)
- Vertex R: (3, -3)
2. Swap the x and y coordinates of each vertex:
- Vertex P becomes (−4, −7)
- Vertex Q becomes (−8, −7)
- Vertex R becomes (−3, 3)
Therefore, the vertices of the image reflected across the line y=x are:
- Vertex P': (−4, −7)
- Vertex Q': (−8, −7)
- Vertex R': (−3, 3)
Note that the x and y coordinates of each vertex have been interchanged while keeping the order of the vertices the same.
good grief!
bobpursely already pointed out that you had a typo.
how hard is it to switch around the x and y variables in your points
e.g Q(-7,-8) ----> Q'(-8,-7)
look at you P, none of the choices given are correct, so where do you think the typo is ?