Question

if ABCDE is rotated 180 degrees clockwise around A, translated 2 units down, what are the new coordinates A?

Answer 1

Answer:

(0, -2)

Step-by-step explanation:

The question is not complete, the coordinates of point A are not given. Let us assume A = (3, 2).

If a point D $(x_1,y_1)$is rotated about a point E($x_2,y_2$), First E is made the center of origin. This is done by making a new point F = D - E. Therefore F = $(x_1-x_2,y_1-y_2)$.

If a point D $(x_1,y_1)$ is rotated 180 degrees, the new ordinates becomes $D'(-x_1,-y_1)$

If a point D $(x_1,y_1)$ is translated x units down,, the new ordinates becomes $D'(x_1,y_1-x)$

Let us assume A = (3, 2).

If ABCDE is rotated 180 degrees clockwise around A, Firstly A is made the center of origin. For point A, the new point by making A the center of origin is A' = A - A = (3, 2) - (3, 2) = (3-3, 2-2) = (0, 0). Therefore the 180 degrees rotation becomes A'' = (-0, -0) = (0,0)

If it is then translated 2 units down, the new coordinates are (0, 0-2) = (0, -2)