Question

graph the image of kite stuv after a reflection over the y - axis.

Explanation:

Step1: Find the coordinates of the original points

From the graph, we can see that the coordinates of the vertices of kite \(STUV\) are \(S(-5,-5)\), \(T(-3,-1)\), \(U(-4,3)\), \(V(-9,-1)\).

Step2: Apply the reflection rule over the \(y\) - axis

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

• For point \(S(-5,-5)\): After reflection, \(S'=(5,-5)\)
• For point \(T(-3,-1)\): After reflection, \(T'=(3,-1)\)
• For point \(U(-4,3)\): After reflection, \(U'=(4,3)\)
• For point \(V(-9,-1)\): After reflection, \(V'=(9,-1)\)

Step3: Plot the new points and connect them

Plot the points \(S'(5,-5)\), \(T'(3,-1)\), \(U'(4,3)\), \(V'(9,-1)\) on the coordinate plane and connect them in the order \(S'\to T'\to U'\to V'\to S'\) to form the reflected kite.

Answer:

Plot the points \((5,-5)\), \((3,-1)\), \((4,3)\), \((9,-1)\) and connect them to get the reflected kite.