Question

Unit 1, Lesson 6

2. The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What
are the coordinates of the image?
A. (-5,-2)
B. (-4,-1)
C. (-2, -1)
D. (4,-1)
3. Describe a sequence of transformations for which Triangle B is the image of Triangle A.

Answer 1

When a point is rotated 180°, it actually get reflected towards the cemter of rotation. This works for all x=360k°+180° rotation angles

Explanation:

(a, b) reflected 180° towards (c, d) and became (x, y). then,

(x, y) = (2c-a,2d-b)

=> (2(-3)-(-4), 2(0)-1) = (-2,-1)