Question

the figure below is rotated 180° clockwise and then reflected over y - axis. what are the coordinates of the image of point v after these transformations?

Explanation:

1. First, identify the coordinates of point \(V\):

• From the graph, the coordinates of point \(V\) are \((1,3)\).

1. Apply the \(180^{\circ}\) - clock - wise rotation rule:

• The rule for a \(180^{\circ}\) clock - wise rotation about the origin \((x,y)\to(-x,-y)\).
• For the point \(V(1,3)\), after a \(180^{\circ}\) clock - wise rotation, the new coordinates are \((-1,-3)\).

1. Apply the reflection over the \(y\) - axis rule:

• The rule for a reflection over the \(y\) - axis is \((x,y)\to(-x,y)\).
• For the point \((-1,-3)\), after reflection over the \(y\) - axis, the new coordinates are \((1,-3)\).

Answer:

\((1, - 3)\)