Mathematics
Grade9
Easy

Question

Graph the reflection of the polygon in the given line: y = x

hintHint:

Plot the given vertices of a triangle on the graph and then obtain the points of reflection.

The correct answer is:


    * 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.
    The reflection transformation can be done in many ways.
    *Reflection over X-axis
    *Reflection over Y-axis
    *Reflection over Y = X
    Given That:

    >>>Let (a, b) be a point in the x-y plane then the point of reflection with respect to y=x becomes (b, a).
    >>>Then, the points of reflection for the vertices of the triangle are A(-6,-4);B'(-5,-1);C'(-3,-2) becomes:
    A'(-4,-6); B'(-1,-5); C'(-2,-3).
    >>>The required graph is:
                             

    If (a, b) is reflected in the line y = x, its image is the point (b, a).
    (a, b) → (b, a)
    A (-6, -4)  → (-4, -6)
    B (-5, -1) → ( -1, -5)
    C (-3, -2) → (-2, -3)

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    Image: The triangle being reflected and the result after being reflected again. To reflect a triangle, you must first reflect the three points that make up each triangle over the line of reflection and then use the algebraic reflection properties on each coordinate.
    ¶In a triangle reflection, the pre-point image and the image's point are at the same distance from the line of reflection. Something is one method of doing this correctly.

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