Question

Find the glide reflection image of the black triangle where the translation is (x,y) ---> (x,y - 7) and line of reflection is x - 1

Answer 1

Transformation involves changing the position of a shape.

The image of the black triangle is option (d)

The coordinates of the black triangle are:

$\mathbf{A = (2,8)}$

$\mathbf{B = (2,5)}$

$\mathbf{C = (5,5)}$

When the triangle is transformed by $\mathbf{(x,y) \to (x,y - 7)}$

The new coordinates are:

$\mathbf{A' = (2,8 - 7) = (2,1)}$

$\mathbf{B' = (2,5 - 7) = (2,-2)}$

$\mathbf{C' = (5,5 - 7) = (5,-2)}$

When the triangle is reflected across the line $\mathbf{x = 1}$

The rule of transformation is:

$\mathbf{(x,y) \to (-(x - 2),y)}$

So, we have:

$\mathbf{A" = (-(2 - 2),1) = (0,1)}$

$\mathbf{B" = (-(2 - 2),-2) = (0,-2)}$

$\mathbf{C" = (-(5 - 2),-2) = (-3,-2)}$

So, the coordinates of the image of the triangle are:

$\mathbf{A" = (0,1)}$

$\mathbf{B" =(0,-2)}$

$\mathbf{C" = (-3,-2)}$

The above coordinates are illustrated by the option (d)

Read more about transformations at:

https://brainly.com/question/11707700