Answered

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A pentagon is transformed according to the rule R₀,₁₈₀°. Which is another way to state the transformation?
a. (x,y) → (-x,-y)
b. (x,y) → (-y-x)
c. (x,y) → (x,-y)
d. (x,y) → (-x,y)

Sagot :

sqdancefan

Answer:

  a. (x,y) → (-x,-y)

Step-by-step explanation:

You want the rule that results in rotation 180° about the origin.

Rotation 180°

Rotation 180° about the origin has the same effect as any of ...

  • reflection across the x- and y-axes, in any order
  • reflection across the origin.

The transformation rule describing this is ...

  (x, y) → (-x, -y) . . . . . choice A

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Additional comment

The transformations effected by the other rules are ...

  b. (x,y) → (-y, -x) — reflection across the line y = -x

  c. (x,y) → (x,-y) — reflection across the x-axis

  d. (x,y) → (-x,y) — reflection across the y-axis

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