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1. End of Unit Test on Bivariate Data for S3 Students
2. End of Unit Test on Enlargement and Similarity in 2D for S3 Students
3. End of Unit Test on Collinear Points and Orthogonal Vectors for S3 Students
4. End of Unit Test on Right Angled Triangles for S3 Students
5. End of Unit Test on Percentage Interest and Proportion for S3 Students
6. End of Unit Test on Linear and Quadratic Functions for S3 Students
7. End of Unit Test on Quadratic Equations for S3 Students
8. End of Unit Test on Simultaneous Equations and Inequalities for S3 Students
9. End of Unit Test on Algebraic Fractions for S3 Students
10. End of Unit Test on Number Bases for S3 Students
11. End of Unit Test on Problems on Sets for S3 Students
Inverse and Composite Transformations in 2D Unit Summary
1. In composite translation, all the points in the object move through the same distance and in the same direction.
2. Composite reflection: A reflection is a trans-formation representing a f lip of a figure. A reflection maps every point of a f igure to an image across a fixed line. The fixed line is called the line of reflection.
3. Equation of a mirror line: Equation of the mirror line can be found by using the co-ordinates of the midpoints of the image and the object. For example the object whose co-ordinates are \(A(a, b)\) and \(B(c, d)\), and the image \(A^{'}(a_{1}, b_{1})\), \(B^{'}(c_{1}, d_{1})\), The equation of the mirror line is got from the midpoints of \(AA^{'}\) and \(BB^{'}\) as;
\(M_{1}=\left( \frac{a+a_{1}}{2}, \frac{b+b_{1}}{2}\right)\) and \(M_{2}=\left( \frac{c+c_{1}}{2}, \frac{d+d_{1}}{2}\right)\)
The equation of the line joining points \(M_{1}\) and \(M_{2}\) is the equation of the mirror line.
3. Composite rotation: The turning of an object about a fixed point or axis is called rotation. The amount of turning is called the angle of rotation.
4. Mixed transformations: An object can undergo several transformations, one after the other. This is done such that the image of the preceding transformation becomes the object of the next transformation.
5. Inverse of a transformation: The inverse of a transformation reverses the transformation, i.e. it is the transformation which takes the image back to the object.