Question

1. triangle abc is reflected over the x - axis to create triangle abc. graph triangle abc.

Explanation:

Step1: Recall reflection rule

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

Step2: Identify coordinates of $\triangle ABC$

Let's assume $A(-4,2)$, $B(2,1)$, $C(0,4)$.

Step3: Apply reflection rule to each point

For point $A(-4,2)$: $A'(-4,-2)$; for point $B(2,1)$: $B'(2,-1)$; for point $C(0,4)$: $C'(0,-4)$.

Step4: Plot new points

Plot $A'(-4,-2)$, $B'(2,-1)$ and $C'(0,-4)$ on the coordinate - plane and connect them to form $\triangle A'B'C'$.

Answer:

The new triangle $A'B'C'$ has vertices $A'(-4,-2)$, $B'(2,-1)$ and $C'(0,-4)$ which are plotted on the coordinate - plane.