Reflect triangle ABC with vertices A(1,2), B(3,1), C(4,2) across the lines y=x and y=-x.

Here are the solutions to your geometry problems.

Part 1: Triangle ABC reflections

Original triangle ABC has vertices: $A(1,2)$, $B(3,1)$, $C(4,2)$.

Step 1: Coordinates for drawing

• For question 1, plot the points $A(1,2)$, $B(3,1)$, $C(4,2)$ and connect them to form triangle ABC.
• For question 2, plot points for the lines:
  • For $y=x$: e.g., $(0,0)$, $(1,1)$, $(2,2)$
  • For $y=-x$: e