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Mathematics

The co-ordinates of the image of the point (7, 11) when reflected in x-axis followed by the reflection in origin is :

  1. (-7, 11)

  2. (7, 11)

  3. (-7, -11)

  4. (7, -11)

Reflection

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Answer

Given,

Let the point (7, 11) be P.

We know that,

On reflecting in x-axis the sign of y co-ordinate changes.

Let on reflection in x-axis, P(7, 11) becomes P'.

P(7, 11) ⇒ P'(7, -11).

We know that,

On reflecting in origin the sign of both x and y co-ordinate changes.

Let on reflection in origin, P'(7, -11) becomes P".

P'(7, -11) = P"(-7, 11).

Hence, Option 1 is the correct option.

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