Question

Complete the mapping of the vertices of ΔDEF. 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? rx = y(x, y) →

Answer 1

Answer: The rule of reflection across the line y = x is

$(x,y)\rightarrow(y,x)$

The mapping of the vertices of ΔDEF is given by :-

$D(2,-4)\rightarrow D'(-4,2)\\\\E(1, -1) \rightarrow E'(-1.1)\\\\F(5, 1) \rightarrow F'(1,5)$

Step-by-step explanation:

When we reflect a point across the line y = x, the x-coordinate and y-coordinate interchanges places.

The rule of reflection across the line y = x is

$(x,y)\rightarrow(y,x)$

Then, the mapping of the vertices of ΔDEF is given by :-

$D(2,-4)\rightarrow D'(-4,2)\\\\E(1, -1) \rightarrow E'(-1.1)\\\\F(5, 1) \rightarrow F'(1,5)$

Answer 2

D(2, –4) → D' = (-4, 2)

E(1, –1) → E'= (-1, 1)

F(5, 1) → F'=(1, 5)

What is the rule that describes a reflection across the line y = x?

rx = y(x, y)= (y, x)