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Question

For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?

The correct answer is

To solve this problem, we need to determine which option correctly represents the reflection of the given figure with respect to the dotted line (mirror line).

Reflection in a mirror involves flipping the object over the line of reflection. The properties of such reflections are:

  • Each point of the original figure and its image will be equidistant from the mirror line.
  • The shape and size of the object remain unchanged, but the orientation is reversed.
  • The left and right sides are flipped, similar to how text appears backward in a mirror.

Let's analyze the given figure, which consists of a complex shape. To find the correct reflection:

  1. Identify the distances of key points of the figure from the mirror line.
  2. Ensure that these points retain their distances but switch sides relative to the mirror line.
  3. Check that the orientation of shaded and non-shaded areas is flipped correctly.

Given the options and the correct answer image:

This option shows the figure correctly reflected across the mirror line:

  • The distances between corresponding points on the figure and its image are equal on either side of the dotted line.
  • The orientation of the shaded segments is appropriately flipped, matching the reflection property.

Conclusion: The correct reflection is represented by the image provided, which accurately mirrors the given figure across the dotted line. Therefore, this is the correct choice.

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Important Questions from Mirroring of Shapes

  1. Examples of mirror and water reflections are shown in the figures below:

    An object appears as the following image after first reflecting in a mirror and then reflecting on water.

    The original object is

  2. A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. 

    The figure below consists of 20 unit squares arranged as shown. In addition to the given black squares, upto 5 more may be coloured black. Which one among the following options depicts the minimum number of boxes that must be coloured black to achieve two lines of symmetry? (The figure is representative)

  3. The mirror image of the above text about the X-axis is

  4. The least number of squares that must be added so that the line P-Q becomes the line of symmetry is ___________

  5. In a CAD package, mirror image of a 2D point P(5,10) is to be obtained about a line which passes through the origin and makes an angle of 45° counterclockwise with the X-axis. The coordinates of the transformed point will be
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