Co-ordinates of point B" are (-8,6)
Step-by-step explanation:
Question:
Suppose the point (2,8) is reflected across the −axis and then translated according to the rule (, ) → (, + 4). What are the coordinates of ′′? Show your work and explain.
Solution:
We are given the point B(2,8) and we need to find B".
The coordinates of B" will be:
a) The point B(2,8) is reflected across the −axis:
If a point is reflected across x-axis, then the co-ordinate of x-axis remains same, while co-ordinate of y-axis is changed into opposite value, i.e its sign is changed.
So, point B' will be (2,-8)
b) Now, point B' is translated according to the rule (, ) → (, + 4) so, co-ordinates of point B'' are:
So, y= -8 and x = 2
(-8,2+4)
(-8,6)
So, Co-ordinates of point B" are (-8,6)
Keywords: Translation
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