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zabomoxx5ll
23.10.2020 •
Mathematics
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie? (−1, 2) (−2, 1) (1, −2) (2, −1)
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Ответ:
Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°
We need to determine the coordinates of the point A'
Reflection over the y - axis:
The coordinates of the point A is (-2,1)
The transformation rule to reflect across the y - axis is![(x,y)\rightarrow (-x,y)](/tpl/images/0579/8367/55754.png)
Substituting the point (-2,1) in the rule, we get;
Thus, the coordinates of the point A after reflection over the y - axis is (2,1)
Reflection over the x - axis:
The transformation rule to reflect across the x - axis is![(x,y)\rightarrow (x,-y)](/tpl/images/0579/8367/a2820.png)
Substituting the point (2,1) in the rule, we get;
Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)
Rotation about 180°:
The transformation rule to rotate about 180° is![(x,y)\rightarrow (-x,-y)](/tpl/images/0579/8367/2a226.png)
Substituting the point (2,-1) in the rule, we get;
Thus, the coordinates of the point A after the rotation about 180° is (-2,1)
Therefore, the coordinates of the point A' is (-2,1)
Hence, Option B is the correct answer.
Ответ:
Simplify the expression and solve.