Pentagon CDEFG was reflected over the y-axis to create a new figure. Which rule describes this transformation?
Responses
A (x, y) → (-x, y)( x, y ) → (- x , y )
B (x, y) → (x, -y)( x, y ) → ( x , - y )
C (x, y) → (-y, x)( x, y ) → (- y , x )
D (x, y) → (y, -x)
The correct rule that describes the transformation of Pentagon CDEFG reflected over the y-axis is:
A. (x, y) → (-x, y)
The rule that describes the transformation of reflecting Pentagon CDEFG over the y-axis is:
B (x, y) → (x, -y)( x, y ) → ( x , - y )
To determine the rule that describes reflecting the Pentagon CDEFG over the y-axis, we need to understand what reflection over the y-axis entails.
When a figure is reflected over the y-axis, every point's x-coordinate is negated while its y-coordinate remains the same. In other words, (x, y) is transformed to (-x, y).
Let's apply this rule to each answer choice:
A: (x, y) → (-x, y) - This rule matches the definition of reflecting over the y-axis.
B: (x, y) → (x, -y) - This rule describes a reflection over the x-axis, not the y-axis.
C: (x, y) → (-y, x) - This rule describes a rotation of 90 degrees counterclockwise, not a reflection over the y-axis.
D: (x, y) → (y, -x) - This rule describes a rotation of 90 degrees clockwise, not a reflection over the y-axis.
Based on this analysis, the correct answer is A: (x, y) → (-x, y).