Mirror Image in Maths Class 9
In mathematics, a mirror image is a reflection of a figure across a line. It is important to understand the concept of mirror images for solving various problems in geometry, coordinate geometry, and other advanced branches of mathematics.
The line across which the reflection occurs is called the mirror line. When a figure is reflected across a mirror line, each point of the figure is moved to a point that is equidistant from the mirror line as the original point. This means that the distance between a point and its mirror image is the same on both sides of the mirror line.
Mirror images have several properties. First, the mirror image of a figure is congruent to the original figure. This means that the two figures have the same shape and size. Second, the mirror image of a figure is formed by rotating the original figure by 180 degrees about the mirror line. Third, the mirror image of a line segment is a line segment of the same length and parallel to the original line segment.
Mirror images can be used to solve various problems in geometry, such as finding the image of a point after reflection across a line, finding the equation of the mirror line, and finding the area and perimeter of a figure and its mirror image. They can also be used to solve problems in coordinate geometry, such as finding the coordinates of the mirror image of a point or a figure.
Understanding the concept of mirror images is essential for students of mathematics, as it is a fundamental concept in geometry and coordinate geometry. By understanding the properties of mirror images, students can solve various problems involving reflections and transformations.
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