Question

1. reflect the figure shown over the y-axis. record the coordinates of the image.

grid with points m, a, t, h
m ____ a __ t __ h ____

Explanation:

Step1: Recall reflection over y - axis rule

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

Step2: Find coordinates of original points

• For point \(M\): From the graph, the coordinates of \(M\) are \((-8,2)\).
• For point \(A\): The coordinates of \(A\) are \((-7,6)\).
• For point \(T\): The coordinates of \(T\) are \((-2,6)\).
• For point \(H\): The coordinates of \(H\) are \((-2,2)\).

Step3: Apply reflection rule to each point

• For \(M(-8,2)\): Using the rule \((x,y)\to(-x,y)\), we get \(M'=(8,2)\) (since \(-(-8)=8\) and \(y = 2\) remains the same).
• For \(A(-7,6)\): Applying the rule, we have \(A'=(7,6)\) (because \(-(-7)=7\) and \(y = 6\) remains unchanged).
• For \(T(-2,6)\): Using the reflection rule, \(T'=(2,6)\) (as \(-(-2)=2\) and \(y = 6\) stays the same).
• For \(H(-2,2)\): Applying the rule, \(H'=(2,2)\) (since \(-(-2)=2\) and \(y = 2\) remains as it is).

Answer:

\(M'(8,2)\), \(A'(7,6)\), \(T'(2,6)\), \(H'(2,2)\)