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If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie? (5 points) Group of answer choices(−1, 4)(1, −4)(4, −1)(−4, 1)

If triangle ABC is reflected over the xaxis reflected over the yaxis and rotated 180 degrees where will point B lie 5 points Group of answer choices1 41 44 14 1 class=

Respuesta :

A reflection over the x-axis is given by:

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

A reflection over the y-axis is given by:

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

A rotation of 180° is given by:

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

The coordinates of point B are (-1,4) if we perform the transformations stated above we get:

[tex](-1,4)\rightarrow(-1,-4)\rightarrow(1,-4)\rightarrow(-1,4)[/tex]

Therefore, the coordinates of B' are (-1,4)

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