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)(…

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asked Apr 22, 2023 152k views

1 Answer

Franksands · Answer 1 · 2023-04-28T15:58:59+0000

A reflection over the x-axis is given by:

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

A reflection over the y-axis is given by:

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

A rotation of 180° is given by:

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

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

$(-1,4)\rightarrow(-1,-4)\rightarrow(1,-4)\rightarrow(-1,4)$

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