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 reflect

Question

1 month ago

9

ion across the line y = x? rx = y(x, y) →

2 answers:

babunello [11.8K] · Answer 1 · 2026-03-10T04:59:50+03:00

Response: The reflection rule for the line y = x is

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

The mapping of the vertices of ΔDEF is expressed as:

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

Step-by-step explanation:

Reflecting a point across the line y = x results in the x and y coordinates swapping places.

The rule for reflection over the line y = x is

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

Thus, the mapping for vertices of ΔDEF is presented as:

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

babunello [11.8K] · Answer 2 · 2026-03-10T04:59:44+03:00

7 0

D(2, –4) transforms to D' = (-4, 2)

E(1, –1) changes to E' = (-1, 1)

F(5, 1) shifts to F' = (1, 5)

What is the mathematical representation for a reflection over the line y = x?

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