the vertices of a triangle are p(-7, -4) Q(-7 -8 and r3, -3. name the vertices of the image reflected across the line y=x?
reflection in y=x takes (x,y) -> (y,x)
so just swap all the pairs.
you seem to have a problem with parentheses.
Also, "naming" the images of P,Q,R makes them P',Q',R'
To find the vertices of the reflected image across the line y=x, you can use the reflection transformation formula. This formula swaps the x and y coordinates of a point.
Let's go through each vertex of the triangle and apply the reflection transformation:
Vertex P(-7, -4):
To reflect P across the line y=x, swap the x and y values to get (-4, -7). So, the new vertex is P'(-4, -7).
Vertex Q(-7, -8):
Similarly, swap the x and y values to get (-8, -7). The reflected vertex is Q'(-8, -7).
Vertex R(3, -3):
Swapping the x and y values, we get (-3, 3). The reflected vertex is 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).