Question

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

Explanation:

Step1: Recall the reflection rule

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

Step2: Identify the vertices of the original triangle

Assume the vertices of the original triangle are \((x_1,y_1)\), \((x_2,y_2)\), \((x_3,y_3)\). For example, if one vertex is \((- 6,2)\), another is \((-3,6)\) and the third is \((-1,1)\)

Step3: Apply the reflection rule

For the vertex \((-6,2)\), after reflection across the \(y -\)axis, it becomes \((6,2)\). For the vertex \((-3,6)\), it becomes \((3,6)\). For the vertex \((-1,1)\), it becomes \((1,1)\)

Step4: Plot the new vertices and connect them

Plot the points \((6,2)\), \((3,6)\) and \((1,1)\) on the coordinate - plane and connect them to form the reflected triangle.

Answer:

Follow the above steps to draw the reflected triangle on the given coordinate - plane.