Question

graph the image of kite klmn after a reflection over the x - axis.

Explanation:

Step1: Recall reflection rule

For a reflection over the x - axis, the rule is $(x,y)\to(x, - y)$.

Step2: Identify original points

Assume the coordinates of the vertices of kite $KLMN$ are $K(x_{K},y_{K})$, $L(x_{L},y_{L})$, $M(x_{M},y_{M})$, $N(x_{N},y_{N})$.

Step3: Apply reflection rule

The new coordinates of the reflected kite will be $K'(x_{K},-y_{K})$, $L'(x_{L},-y_{L})$, $M'(x_{M},-y_{M})$, $N'(x_{N},-y_{N})$.

Step4: Plot new points

Plot the points $K'$, $L'$, $M'$, $N'$ on the same coordinate - grid and connect them in the same order as the original kite to form the reflected kite.

Answer:

Graph the new kite with vertices obtained by applying the $(x,y)\to(x, - y)$ rule to the original vertices of kite $KLMN$.