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The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1). If pentagon PQRST is reflected over the y-axis which vertex will NOT change its coordinates?

Respuesta :

leah1980
It should be point p (0,1)

Answer:

P(0,1)

Step-by-step explanation:

The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1).

If a figure reflected across y-axis, then the relation between preimage and  image is

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

If the pentagon PQRST reflected over the y-axis, then vertices of image are

[tex]P(0,1)\rightarrow P'(0,1)=P[/tex]

[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]

[tex]R(5,3)\rightarrow R'(-5,3)[/tex]

[tex]S(4,0)\rightarrow S'(-4,0)[/tex]

[tex]T(1,-1)\rightarrow T'(-1,-1)[/tex]

Therefore, only vertex P will not change its coordinates after reflection.

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