Prime notation designates the figure that is the image. The triangle on the right is our reflected figure, or image, named Triangle A’B’C’. The triangle on the left is our original figure, or preimage, named Triangle ABC. Here’s a triangle reflected over the line x=7. We can reflect a figure in the coordinate plane over any line in the coordinate plane. Let’s start by looking at reflections over a line. Like I mentioned, there are two main types of reflections: reflections over a line and reflections on a point. This idea is related to what happens when we reflect figures on the coordinate plane. When we think of the term reflection, we most likely think of looking in a mirror or a still body of water. We will translate the object with the same factor but in opposite direction.Hi, and welcome to this video about reflection! In this video, we will explore reflection of a figure over a line and reflection of a figure on a point. Translate back to original position: T(0,b).Counterclockwise rotation by the same angle: R(Ɵ) We will perform this to change the orientation back as it was originally.Reflection about that axis: We will simply reflect the object about the axis using a standard 2D Reflection matrix.(We can find the angle of rotation by the relationship m=tanƟ). So that line passes through any of the axes. Clockwise rotation: Now we have to change the orientation.We will translate the object by the factor 0, -b. Translate the line so that it passes through the origin: It is required that the line should pass through the origin.We can easily derive the Reflection matrix by performing some series of operations. We can reflect an object about any given line. Arrays in Java: Get the best clarity of conceptsĢD Reflection about an arbitrary line y=mx+b.Introduction to Java and its important Features.Types of Inheritance An Important and Useful Object-Oriented Concept.Constructors and Destructors with the best explanation.Classes and Objects Excellent explanation with best examples.Object Oriented Programming Concepts The Best Explantion.Array in C++: Best and Simple explanation.Searching: Linear Search, Binary Search, Binary Search tree (Made easy).Bucket Sort Data Structure and Algorithm with easy Example.Counting Sort Algorithm in six easy steps and Program in C.Heap Sort with complete explanation Data Structures and Algorithm.Merge Sort Data Structure and Algorithm with an easy example.Quick Sort Data Structures and Algorithm with Easy example. ![]() Selection Sort Data Structure and Algorithm with easy Example.Insertion Sort with easy and simple steps.Bubble Sort Data Structures and Algorithm with easy explanation.Conditional Statements in Python: All Important points covered.Operators in Python, How to work with it (Beginner to Advanced).Data Types and Variables: Important Concepts in the easiest way.Character Set and Tokens in Python with excellent examples.Bezier Curve and its important properties in Computer Graphics.Spline Curves and important properties in Computer Graphics.Curves in Computer Graphics Menu Toggle.How to do Polygon Clipping in Computer Graphics.Cohen-Sutherland Line Clipping and Important applications of Clipping.Window to View-Port Transformation, easy with solved example.3D Transformation and its 5 important types in Computer Graphics.2D Shear Transformation and its types Important Example easy steps.2D Reflection with Important solved example in easy steps.Pivot Point Rotation with Important example in easy steps. ![]() ![]()
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