Answer:
Option B
Step-by-step explanation:
ABCD is a parallelogram with vertices as given
A =(0,1)
I transformation: Translated 1 unit to right. By this A (0,1) becomes
A(0+1,1) = (1,1)
II transformation: 1 unit down.
By this revised A (1,1) becomes (1,1-1) = (1,0)
III transformation: Rotated 180 degrees clockwise around the origin
Now new position of A, A" would be (-1,0)
Hence option B is right
Answer:
Option B. (-1, 0)
Step-by-step explanation:
A parallelogram having vertices as A, B, C, D. We have to find the coordinates of A after transformations given in the question.
We will concentrate on the coordinates of A(0, 1) only.
1). A was translated 1 unit to the right.
It means new coordinates of vertex A become [(0 + 1), 1]. Here only x coordinates of vertex A gets changed. Y remains the same.
2). New vertex of A is transformed 1 unit down.
Now y coordinates of new vertex will become [1, (1 - 1)] = (1, 0)
3). Finally A is rotated by 180° clockwise around the origin.
Since point A lies in 1st quadrant so after 180° rotation point will lie in second quadrant. x coordinate will become negative by sign.
Finally vertex A will become as (-1, 0).
Option B. (-1, 0) is the correct option.
