6. Reflection with respect to a point
Reflection with respect to a point
Reflection with respect to a point
When reflecting a figure with respect to a point, the corresponding points of the figure are- on the same line that passes through the point.
- at an equal distance from the reflection point.
A pattern symmetrical with respect to a point is reflected symmetrically through a reflection point. If the reflection point is located inside the pattern, it is called the pattern's center of symmetry.
![the center of symmetry](https://peda.net/qis/2022-2023/mathematics/maths-grade-9/oit/6pps/pps/s2k0:file/photo/cc1adbca2fb098a6ac4f329e04d30d34fdac5ad2/6_center-of-symmetry.png)
Example 1
By reflecting the triangle [[$ ABC $]] with respect to the point [[$ P $]], a reflected triangle [[$ A'B'C' $]] is obtained. This triangle is similar to the original triangle.
Example 2
Below, you can see examples of figures that are symmetric with respect to a point. Their centers of symmetry are marked in red.
Exercises
Basic exercises
Applied exercises
3/06. Submission folder for answers
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