write a rule for the reflection. (x,y)→(□,□)
write a rule for the reflection. (x,y)→(□,□)
Answer
Explanation:
Step1: Find coordinates of points
Find coordinates of (B), (C), (B') and (C'). (B(2,3)), (C(6,1)), (B'(2, - 3)), (C'(6,-1)).
Step2: Analyze the change in coordinates
For point (B(2,3)) and its image (B'(2,-3)), (x) - coordinate remains the same ((x = 2)), (y) - coordinate changes from (y = 3) to (y=-3). For point (C(6,1)) and its image (C'(6,-1)), (x) - coordinate remains the same ((x = 6)), (y) - coordinate changes from (y = 1) to (y=-1). The rule for reflection over the (x) - axis is ((x,y)\to(x,-y)).
Answer:
((x,y)\to(x,-y))