Question

2. Graph the image of the given triangle after the transformation that has the rule (x, y)→(x, −y) .



Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.

Answer 1

Given: From the graph, consider Δ ABC.

The coordinates of Δ ABC are A(2,7), B(4, - 3) and C( -5, -2).

Now, we transfer Δ ABC → Δ A'B'C' by using the given rule (x,y) → (x, -y).

Here, we will keep x-coordinates as same while y-coordinates will be interchanged with the negative sign.

Obtained coordinates of triangle Δ A'B'C' will

A'(2 , - 7), B'(4 , 3) and C'( -5, 2)

The transformed triangle Δ A'B'C' is shown in the attached diagram.