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.
(1 point)
Responses
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)
To reflect a point across the line y = x, we need to swap the x-coordinate and y-coordinate of the point.
So, the reflection of P(–7, –4) would be P'(–4, –7).
Similarly, the reflection of Q(–7, –8) would be Q'(–8, –7), and the reflection of R(3, –3) would be R'(–3, 3).
Therefore, the correct answer is c. P'(–4, –7), Q'(–8, –7), R'(–3, 3).
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.
The vertices of the triangle P(–7, –4), Q(–7, –8), and R(3, –3) after reflection will be:
P' = (–4, –7)
Q' = (–8, –7)
R' = (–3, 3)
Therefore, the correct answer is c. P'(–4, –7), Q'(–8, –7), R'(–3, 3).