Eric Nicholas K's answer to Keith6156's Secondary 3 A Maths Singapore question.
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
Here
Date Posted:
4 years ago
why is the new centre (0,3) how did you get it
As you reflect the circle along the vertical line x = 1, the most notable and countable change is the shift in the centre of the circle.
Of course reflecting along a vertical line will not affect the y value of the centre, but the x value will change.
The centre is initially at x = 2, which is 1 unit to the right of the line x = 1.
Of course, after reflection, the new centre will be 1 unit to the left of the line x = 1, so the new centre is at x = 0.
So the new centre of the circle is (0, 3).
The radius of the circle remains unchanged during the reflection.
Of course reflecting along a vertical line will not affect the y value of the centre, but the x value will change.
The centre is initially at x = 2, which is 1 unit to the right of the line x = 1.
Of course, after reflection, the new centre will be 1 unit to the left of the line x = 1, so the new centre is at x = 0.
So the new centre of the circle is (0, 3).
The radius of the circle remains unchanged during the reflection.
360 Tutoring Program