Triangle abc is translated 2 units down and 1 unit left. then it is rotated 90 degrees clockwise about the origin to create triangle a'b'c'. what are the coordinates of the vertices of triangle a'b'c' ? a.) a'(-2, 0), b'(1, -1), c'(-1, -1) b.)a'(2, 1), b'(5, 0), c'(3, 0) c.) a'(-1, -2), b'(2, -3), c'(0, -3) d.) a'(-2, 1), b'(1, 0), c'(-1, 0)

Answer : D.) A'(-2, 1), B'(1, 0), C'(-1, 0)

As per the given diagram

Point A : (0,0)

Point B: (1,3)

Point C : (1,1)

WE translate each point 2 units down and 1 unit left.

The points are in ordered pair (x,y)

For 2 units down we subtract 2 from y

For 1 unit left we subtract 1 from x

After translation

Point A : (0,0) ---> (0-1 , 0-2) ---> (-1, -2)

Point B: (1,3) ---> (1-1 , 3-2) ---> (0, 1)

Point C : (1,1) ---> (1-1 , 1-2) ---> (0, -1)

Now we rotated 90 degrees clockwise about the origin

While rotating 90 degree clockwise (x , y) becomes (y , -x)

Point A' : (-1, -2) ---> (-2, 1)

Point B': (0, 1) -----> (1,0)

Point C' : (0, -1) -----> (-1 ,0)

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step-by-step explanation: