Question

ricardo reflected the triangle across the y - axis. what is the new triangle? (there are images of a triangle on a coordinate grid and four option images of triangles on coordinate grids)

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) across the \(y\) - axis is \((x,y)\to(-x,y)\).
First, find the coordinates of the original triangle's vertices. From the first graph, let's assume the coordinates: Let's say \(A(-3,4)\), \(B(-1,3)\), \(C(-4,1)\) (by looking at the grid).

Step2: Apply the reflection rule

• For point \(A(-3,4)\), after reflection over \(y\) - axis: \((-(-3),4)=(3,4)\)
• For point \(B(-1,3)\), after reflection over \(y\) - axis: \((-(-1),3)=(1,3)\)
• For point \(C(-4,1)\), after reflection over \(y\) - axis: \((-(-4),1)=(4,1)\)

Now, we need to check which of the four graphs has vertices \((3,4)\), \((1,3)\), \((4,1)\). Looking at the four options, the top - left graph (first of the four small graphs) has vertices that match the reflected coordinates.

Answer:

The top - left graph (the first of the four small graphs)