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The point P(5, 7) is reflected to P' in x-axis and O' is the image of O (origin) in the line PP'. The co-ordinates of O' are :

  1. (10, 0)

  2. (0, 10)

  3. (10, 10)

  4. (5, 5)

Reflection

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Answer

We know that,

On reflection in x-axis, the sign of y-coordinate changes.

P(5, 7) = P'(5, -7)

Steps of construction :

  1. Mark point P and P' in the graph.

  2. Join the points to form line PP'.

  3. From origin (O) draw a straight perpendicular line to PP' and produce. On this line mark a point O' which is at same distance as point O.

TThe point P(5, 7) is reflected to P' in x-axis and O' is the image of O (origin) in the line PP'. The co-ordinates of O' are : Reflection, Concise Mathematics Solutions ICSE Class 10.

From figure,

O' = (10, 0).

Hence, Option 1 is the correct option.

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