Question

quiz 4 3 - 1 lesson quiz suppose the equation of line (t) is (y = x). which shows the graph of (\triangle abc) for (r_{t})?

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the line $y = x$, the transformation rule is $(x,y)\to(y,x)$.

Step2: Apply to vertices

For example, if $A=(x_1,y_1)$, $B=(x_2,y_2)$ and $C=(x_3,y_3)$ in $\triangle ABC$, then $A'=(y_1,x_1)$, $B'=(y_2,x_2)$ and $C'=(y_3,x_3)$ in $\triangle A'B'C'$. Analyze the orientation and position of the new - triangle based on this rule to identify the correct graph.

Answer:

(No specific answer given as the correct option among A, B, C is not identified in the problem - statement. But the above steps show how to solve to pick the right option.)