Question

2 - 4 homework
what happened when one famous composer hit another famous comp
directions: graph the image of each figure. label the coordinates of the image point indicated. write the letter for that point in the box at the bottom of the page that contains these coordinates.

1. reflect △ijk over the y - axis. label the coordinates of i.
2. reflect △hij over the x - axis. label the coordinates of h.
3. reflect abcd over the y - axis. label the coordinates of a.
4. reflect △efg over the y - axis, then that image over the x - axis. label the coordinates of e.
5. reflect △tuv over the x - axis, then that image over the y - axis. label the coordinates of t.
6. reflect hijk over the x - axis, then that image over the y - axis. label the coordinates of h.
7. rotate △cde 270° ccw about the origin. label the coordinates of c.
8. rotate hijk 180° about the origin. label the coordinates of h.
9. rotate △bcd 90° counter - clockwise about the origin. label the coordinates of b.

(4, - 2) (-4, 4) (4, - 1) (3, 2) (4, - 3) (1, 2) (3, - 4) (-2, 2) (-4, 2) (-3, - 3) (3, - 1) (-1, - 3) (-4, 3)

Explanation:

Step1: Recall reflection rules

Reflection over y - axis changes sign of x - coordinate (x,y)→(-x,y). Reflection over x - axis changes sign of y - coordinate (x,y)→(x, - y). Rotation 270° counter - clockwise about origin: (x,y)→(y, - x). Rotation 180° about origin: (x,y)→(-x, - y). Rotation 90° counter - clockwise about origin: (x,y)→(-y,x).
Since we don't have the original coordinates of the points in the figures, we'll assume a general approach. For example, if a point P has coordinates (x,y):

For reflection over y - axis (e.g., for △IJK to find I')

If I has coordinates (x,y), then I' has coordinates (-x,y).

For reflection over x - axis (e.g., for △HIJ to find H')

If H has coordinates (x,y), then H' has coordinates (x, - y).

For double - reflection (e.g., for △EFG to find E'')

First, reflect over y - axis: (x,y)→(-x,y). Then reflect the new point over x - axis: (-x,y)→(-x, - y).

For rotation (e.g., for △CDE to find C' for 270° CCW rotation about origin)

If C has coordinates (x,y), then C' has coordinates (y, - x).

Answer:

Without the actual coordinates of the points in the given figures in the image, we can't provide specific numerical answers for the coordinates of the transformed points. But the general rules for transformations are as described above.