Respuesta :

Answer with explanation:

Rule of reflection along line, y=x.

Suppose a point (a,b) is reflected along line, y=x,the coordinates of point after reflection along the line will be (b,a),that is abscissa and ordinate interchange their place, after reflection.

Coordinates of point D =(3,1)

→→Coordinates of point D(3,1) ,after reflection along, line, y=x, will be=(1,3).

Option A→ (1,3)

Answer:

D'(1,3)

Step-by-step explanation:

If a function is reflected across the line y=x, then the rule of reflection is

[tex](x,y)\rightarrow (y,x)[/tex]

From the given graph it is clear that the vertices of figure are A(1,2), B(2,4), C(4,3) and D(3,1).

We need to find the coordinates of D’ when the quadrilateral is reflected across the line y=x.

Using the above rule we get

[tex]D(3,1)\rightarrow D'(1,3)[/tex]

Therefore, the coordinates of D' after reflection are (1,3).

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