1. The reflection of the x-axis
Point A(x, y) is reflected on the x axis, then the image obtained is A'(x, -y). For more details see the picture below:
2. The reflection of the line x = h
Point A(x, y) is reflected on the line x = h, then the image obtained is A '(2h - x, y). For more details see the picture below:
3. The reflection of the y-axis
Point A(x, y) is reflected on the y-axis, then the image obtained is A'(-x, y). For more details note the picture below:
4. The reflection of the line y = k
Point A(x, y) is reflected to the line y = k, the image obtained is A'(x, 2k - y). For more details can be seen in the picture below:
5. The reflection of the line y = x
Point A(x, y) is reflected to the y = x axis, the image obtained is A '(y, x). For more details can be seen in the picture below:
6. The reflection of the line y = -x
Point A(x, y) is reflected to the y-axis, then the image obtained is A'(-y, -x). For more details see the picture below:
7. The reflection of the starting point
Point A(x, y) is reflected to the base point O(0, 0), then the image obtained is A'(- x, -y). For more details see the picture below:
8. The reflection to point P(a, b)
Point A(x, y) is reflected on the point P(a, b), then the image obtained is A'(2a + x, 2b + y). For more details see the picture below:
9. The reflection of the line x = h continues on the line x = k
Consider the picture above, using the reflection formula at x = h obtained A'(2h - x, y). By using the same prisnsip if A'(2h - x, y) is referenced to x = k, then it is obtained:
A"(2x - (2h - x), y) = A"(2(k - h) + x, y)
Note:
The reflection at x = h is continued x = k is not the same as the reflection at x = k is continued x = h or is not commutative.
10. Reflection on line y = h continues to line y = k
Consider the picture above, using the reflection formula at y = h obtained A'(x, 2h - y). By using the same principle if A '(x, 2h - y) is reffered to y = k then it is obtained:
A"(x, 2k - (2h - y)) = A"(x, 2(k - h) + y)
11. Reflection on line x = h continues to line y = k
Consider the image above, using the reflection formula at x = h obtained A'(2h - x, y). Using the same principle if A'(2h - x, y) is referenced to y = k then it is obtained:
A"(2h - x, 2k - y)
Similarly this article.
Sorry if there is a wrong word.
The end of word wassalamualaikum wr. wb
Referensi :
- To'Ali's book math group accounting and sales
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