Question

Complete the mapping of the vertices of ADER:

D(2, -4) - D
E(1, -1) -- E
F(5, 1) – F!!

What is the rule that describes a reflection across the line y = x?
Tx = y(x y) —

a) Tx = (-y, x)
b) Tx = (y, -x)
c) Tx = (-x, y)
d) Tx = (x, -y)

Answer 1

The rule that describes a reflection across the line y = x is Tx = (y, -x).

Step-by-step explanation:

To find the rule that describes a reflection across the line y = x, we need to swap the x-coordinate with the y-coordinate for each point. In this case, the points are D(2, -4), E(1, -1), and F(5, 1).

Swapping the coordinates, we get D'(-4, 2), E'(-1, 1), and F'(1, 5). So the rule for reflection across the line y = x is Tx = (y, x), which corresponds to option b).