OP Malhotra Reflection Class-10 S.Chand ICSE Maths Solutions Ch-10

OP Malhotra Reflection Class-10 S.Chand ICSE Maths Solutions Ch-10.  We Provide Step by Step Answer of Exe-10 with Self Evaluation and Revision of S Chand OP Malhotra Maths . Visit official Website CISCE  for detail information about ICSE Board Class-10.

OP Malhotra Reflection Class-10 S.Chand ICSE Maths Solutions Ch-10


-: Select Topics :-

Exercise-10(a)

Exercise-10(b)

Self Evaluation And Revision


Exercise-10

OP Malhotra Reflection S.Chand Class-10 ICSE Maths Solutions Ch-10

Reflection:

When any object is placed in front of a mirror, its image is formed at the same distance behind the mirror as the object is front of it.

Invariant Point:

Any point that remains unaltered under a given transformation is called invariant. For example:

  1. Reflection of (5,0)  in x-axis  would remain same as (5,0)
  2. Reflection of (0,5)  in y-axis  would remain same as (0,5) 
  3. Reflection of (0,0)  in origin  would remain same as (0,0) 

Remember, in case of an Invariant point, the point itself is its own image. Similarly, every point P  in a like AB  is reflected in AB  itself , the point is invariant.

Reflection Definition:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to be a reflection of the other figure, then every point in a figure is at equidistant from each corresponding point in another figure. The reflected image should have the same shape and size, but the image faces in the opposite direction. In reflection, translation may also take place because of its changes in the position. Here, the original image is called pre-image, and its reflection is called image. The representation of pre-image and image are ABC and A’B’C’ respectively. The reflection transformation may be in reference to the coordinate system (X and Y-axis).

Reflection over X-axis:

When a point is reflected across the X-axis, the x-coordinates remain the same. But the Y-coordinates are transformed into its opposite signs.

Reflection over Y-axis:

When a point is reflected across the Y-axis, the Y-coordinates remain the same. But the X-coordinates is transformed into its opposite signs.

Reflection over Y = X:

When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their place. Similarly, when a point is reflected across the line y = -x, the x-coordinates and y-coordinates change their place and are negated.


Exe-10(a),

OP Malhotra Reflection S.Chand Class-10 ICSE Maths Solutions Ch-10


Exe-10(b),

OP Malhotra Reflection S.Chand Class-10 ICSE Maths Solutions Ch-10


Self Evaluation And Revision

OP Malhotra Reflection S.Chand Class-10 ICSE Maths Solutions Ch-10

— : End of Reflection OP Malhotra S Chand Solutions :–


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