Question

kite making. you fold a large piece of cardboard in half to make a kite. the vertices of △abc are a(0,7), b(6,1), and c(0, - 6). graph △abc and △abc, its image after a reflection across the y - axis. which graph shows △abc and △abc? a.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the y - axis is $(-x,y)$.

Step2: Find new coordinates

For point $A(0,7)$, after reflection across the y - axis, it remains $(0,7)$ since $- 0=0$. For point $B(6,1)$, its image is $B'(-6,1)$. For point $C(0, - 6)$, it remains $(0,-6)$ after reflection across the y - axis.

Step3: Check the graphs

We look for the graph where $\triangle ABC$ with vertices $A(0,7)$, $B(6,1)$ and $C(0,-6)$ and its image $\triangle A'B'C'$ with $A'(0,7)$, $B'(-6,1)$ and $C'(0,-6)$ are plotted correctly.

Answer:

We need to visually inspect the graphs. If in a graph, the blue triangle has vertices $A(0,7)$, $B(6,1)$ and $C(0,-6)$ and the red triangle has vertices $A'(0,7)$, $B'(-6,1)$ and $C'(0,-6)$ then that is the correct graph. Without seeing the full - resolution and properly labeled graphs, we can't definitively say A, B or C, but the above is the process to find the answer.