Part 1: Triangle ABC reflections

Here are the solutions to your geometry problems.

Part 1: Triangle ABC reflections
Original triangle ABC has vertices: $A(1,2)$, $B(3,1)$, $C(4,2)$.
(Based on your partial work, we assume $A'B'C'$ is the reflection of $ABC$ in the x-axis, with $A'(1,-2)$, $B'(3,-1)$, $C'(4,-2)$.)

d) Find the image A''B''C'' of A'B'C' under a reflection in x-axis.

Step 1: Apply the reflection rule.
The rule for reflection in the x-axis is $(x,y) \to (x,-y