Question
R.12 Reflections and rotations: write the rule
2F8
You have prizes to reveal!
Go to your game board.
△LMN is rotated 180° counterclockwise about the origin to produce △L'M'N'.
Write the rule for the rotation.
(x,y)↦
,
2F8
You have prizes to reveal!
Go to your game board.
△LMN is rotated 180° counterclockwise about the origin to produce △L'M'N'.
Write the rule for the rotation.
(x,y)↦
,
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To express the rule for a 180° counterclockwise rotation about the origin, you can use the following transformation:
\[
(x, y) \mapsto (-x, -y)
\]
This means that each point \((x, y)\) in triangle \(\triangle LMN\) is transformed to the point \((-x, -y)\) in triangle \(\triangle L'M'N'\) after the rotation.
\[
(x, y) \mapsto (-x, -y)
\]
This means that each point \((x, y)\) in triangle \(\triangle LMN\) is transformed to the point \((-x, -y)\) in triangle \(\triangle L'M'N'\) after the rotation.
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