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28 votes
28 votes
Use the graph to complete the statement. O is the origin. r(180°,O) ο Ry−axis : (2,5)

A. ( 2, 5)
B. (2, -5)
C. (-2, -5)
D. (-2, 5)

Use the graph to complete the statement. O is the origin. r(180°,O) ο Ry−axis : (2,5) A-example-1
User Milaniez
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2 Answers

5 votes
5 votes

Answer:

(2,-5)

Explanation:

User LuiCami
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13 votes
13 votes

9514 1404 393

Answer:

B. (2, -5)

Explanation:

Reflection across the y-axis is the transformation ...

(x, y) ⇒ (-x, y)

Rotation 180° about the origin is the transformation ...

(x, y) ⇒ (-x, -y)

Applying the rotation after the reflection, we get ...

(x, y) ⇒ (x, -y)

(2, 5) ⇒ (2, -5)

_____

Additional comment

For these transformations, the order of application does not matter. Either way, the net result is a reflection across the x-axis.

User Mmohab
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2.6k points