Question

4.ARST with R(7,4), S(5,-3), and T(2,6), reflected across the line y = x 10. What is the "arrow rule" to show this transformation? 16 b. Graph the original triangle and its image.

Answer 1

`(x,\text{ y)}\rightarrow(y,x)`

See explanation below

Step-by-step explanation:

The coordinates of triangle RST: R(7,4), S(5,-3), and T(2,6)

A reflection across the y = x means (x, y) becomes (y, x)

`\begin{gathered} \text{Arrrow rule for transformation:} \\ (x,\text{ y)}\rightarrow(y,x) \end{gathered}`

Plotting the graph of the original image:

After the reflection aross the line y = x, the new coordiantes will be:

R'(4, 7), S(-3, 5) and (T(6, 2)

plotting the graph of the image:

Both the original and new image: