Reflection
- Suratna Solutions
- Aug 10
- 1 min read
Introduction
A reflection is when a shape is reflected or flipped in a mirror line.
A reflection doesn’t change the size of the shape.
After reflection, the point and the reflected point are at the same distance from the mirror line.
The angles and sides do not change.
The only thing that changes is the position of the shape.
Every point of the image is the same distance from the central line.
Steps of Reflection
The steps are as follows:
To reflect the said shape, we need to select each vertex (point) and check the distance it has from the mirror line.
And then on the opposite side of the mirror line we need to draw the point at the same distance while keeping in mind that the line connecting these two points is perpendicular to the mirror line.
Then simply connect the points accordingly.
Rules of Reflection
Reflect over x-axis: (x,y) → (x, -y)
Reflect over y-axis: (x,y) → (-x, y)
Reflect over y = x line: (x, y) → (y, x)
Reflect over the y = -x line: (x, y) →(-y,-x)
Reflect over origin: (x, y)→(-x, -y)
Example Questions on how to reflect an image
Example: Reflect Shape A along the dashed line to get Shape B.
First , we need to select each vertex and check the distance it has from mirror line.
Then, we need to draw the point at the same distance on the opposite side of the mirror line.
Then, we'll connect the points.
