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Can you come up with a rule for what happens to the signs when you reflect a point across both axes?

User Hans Z
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2 Answers

7 votes

Answer:

(a,b) ⇒ (-a,-b)

Explanation:

When you reflect over the x-axis, the y-value changes sign.

When you reflect over the y-axis, the x-value changes sign.

So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)

(I've also attached a table that's handy for other reflections if you're curious)

Can you come up with a rule for what happens to the signs when you reflect a point-example-1
User Geckon
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7.8k points
2 votes

Required Answer :-

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Hope it helps!!

User Resueman
by
8.3k points

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