Question

graph the image of rectangle klmn after a reflection over the y-axis.

Explanation:

Step1: Find coordinates of K, L, M, N

From the graph:

• \( K(3, 3) \)
• \( L(6, 3) \)
• \( M(6, 8) \)
• \( N(3, 8) \)

Step2: Apply reflection over y - axis

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

• For \( K(3, 3) \): \( (-3, 3) \)
• For \( L(6, 3) \): \( (-6, 3) \)
• For \( M(6, 8) \): \( (-6, 8) \)
• For \( N(3, 8) \): \( (-3, 8) \)

Step3: Plot the new points

Plot \( K'(-3, 3) \), \( L'(-6, 3) \), \( M'(-6, 8) \), \( N'(-3, 8) \) and connect them to form the reflected rectangle.

Answer:

The reflected rectangle has vertices at \( K'(-3, 3) \), \( L'(-6, 3) \), \( M'(-6, 8) \), \( N'(-3, 8) \) (graph by plotting these points and connecting them).