Question

1. graph the reflection of △abc after a reflection over the x - axis.

Explanation:

Step1: Recall reflection rule

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

Step2: Identify vertices of $\triangle ABC$

Let's assume the coordinates of $A=(x_1,y_1)$, $B=(x_2,y_2)$ and $C=(x_3,y_3)$ from the graph.

Step3: Find reflected vertices

The reflected vertices $A'=(x_1,-y_1)$, $B'=(x_2,-y_2)$ and $C'=(x_3,-y_3)$.

Step4: Plot new triangle

Plot points $A'$, $B'$ and $C'$ on the same coordinate - grid and connect them to form the reflected triangle $\triangle A'B'C'$.

Since we don't have the actual coordinates given in the text (but the process is as above), the general answer is to follow the steps of finding the reflected vertices using the $(x,-y)$ rule and then graphing the new triangle. If we assume $A=(a,b)$, $B=(c,d)$ and $C=(e,f)$, the reflected points are $A'=(a, - b)$, $B'=(c,-d)$ and $C'=(e,-f)$. Plot these points to get the reflected triangle over the $x - axis$.

Answer:

Step1: Recall reflection rule

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

Step2: Identify vertices of $\triangle ABC$

Let's assume the coordinates of $A=(x_1,y_1)$, $B=(x_2,y_2)$ and $C=(x_3,y_3)$ from the graph.

Step3: Find reflected vertices

The reflected vertices $A'=(x_1,-y_1)$, $B'=(x_2,-y_2)$ and $C'=(x_3,-y_3)$.

Step4: Plot new triangle

Plot points $A'$, $B'$ and $C'$ on the same coordinate - grid and connect them to form the reflected triangle $\triangle A'B'C'$.

Since we don't have the actual coordinates given in the text (but the process is as above), the general answer is to follow the steps of finding the reflected vertices using the $(x,-y)$ rule and then graphing the new triangle. If we assume $A=(a,b)$, $B=(c,d)$ and $C=(e,f)$, the reflected points are $A'=(a, - b)$, $B'=(c,-d)$ and $C'=(e,-f)$. Plot these points to get the reflected triangle over the $x - axis$.