Mathematics
Grade9
Easy

Question

Graph the image of the triangle ABC, if A (-4,0), B (-3,3) and C (-1,2), which is reflected along y-axis.

  1. a

hintHint:

Plot the points 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:
    The image of the triangle ABC, if A (-4,0), B (-3,3) and C (-1,2), which is reflected along y-axis.
    >>>Let (a, b) be a point on the x-y plane. Then, the reflection of the point with respect to y-axis becomes (-a, b).
    >>>Therefore, the points of reflection for the vertices A (-4,0), B (-3,3) and C (-1,2) of triangle are:
     A'(4,0); B'(3,3); C'(1,2).
    >>>Therefore, the graph looks like:

    If (a, b) is reflected in the y-axis, its image is the point (-a, b).
    (a, b) → (-a, b)
    A (-4, 0)  → A’ (4, 0)
    B (-3, 3) → B’ (3, 3)
    C (-1, 2) → C’ (1, 2)
    Image coordinates of the triangle ABC are A’ (4, 0), B’ (3, 3) and C’ (1, 2).

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