Mathematics
Grade9
Easy

Question

What is the line of reflection for triangle A B C and its image?

  1. x-axis
  2. y-axis
  3. y = x
  4. y = -x

hintHint:

Observe the graph and then obtain the line of reflection.

The correct answer is: y = -x


    * 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.
    *It is a type of transformation that produces mirror image of the shape.
    Given That:

    >>>From figure:
    The coordinates A(0,2);B(0,4);C(3,1);D(3,5) after reflection became A'(-2,0);B'(-4,0);C'(-1,-3);D'(-5,-3).
    >>>The point (a, b) became (-b, -a) after reflection.
    >>>This can be done by reflecting the point on the line y=-x.
    >>>Therefore, the line of reflection is y = -x.

    From the graph, the line of reflection is y = -x.

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