Question

draw the reflection of the triangle across the x - axis.

Explanation:

Step1: Recall reflection rule

For a point $(x,y)$ reflected across the $x - axis$, the new point is $(x, - y)$.

Step2: Identify triangle vertices

Suppose the vertices of the given triangle are $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$.

Step3: Calculate new vertices

The new vertices after reflection across the $x - axis$ will be $(x_1,-y_1)$, $(x_2,-y_2)$, $(x_3,-y_3)$.

Step4: Plot new triangle

Connect the new vertices to draw the reflected triangle.

Since we don't have the actual coordinates of the triangle vertices given in text - based form, this is the general process. If you had the coordinates, for example if a vertex was $(2,-3)$, its reflection across the $x - axis$ would be $(2,3)$.

Sorry, as this is a graphical task and we can't actually draw in this text - based response, you would need to apply the above steps on the provided graph.

Answer:

Step1: Recall reflection rule

For a point $(x,y)$ reflected across the $x - axis$, the new point is $(x, - y)$.

Step2: Identify triangle vertices

Suppose the vertices of the given triangle are $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$.

Step3: Calculate new vertices

The new vertices after reflection across the $x - axis$ will be $(x_1,-y_1)$, $(x_2,-y_2)$, $(x_3,-y_3)$.

Step4: Plot new triangle

Connect the new vertices to draw the reflected triangle.

Since we don't have the actual coordinates of the triangle vertices given in text - based form, this is the general process. If you had the coordinates, for example if a vertex was $(2,-3)$, its reflection across the $x - axis$ would be $(2,3)$.

Sorry, as this is a graphical task and we can't actually draw in this text - based response, you would need to apply the above steps on the provided graph.