Geometrical transformations questions | form two Basic Mathematics

Find Geometrical transformations examination questions, form two Basic Mathematics in acaproso.com

#	Question
1	The translation $T$ maps the origin onto a point $P(4,8)$ Where will $T$ map the points: A. Q(0,4)? B. N(-10,8)? Mathematical Calculation
2	The transformation T maps the point (x,y) to (x-y,x). Find the image of the point (6,-2) under T. Find the image of a point P(3,2) after rotating it about the origin through 90° in a clockwise direction. Mathematical Calculation
3	Find the images of B (3, 4) under a reflection in the y – axis and x – axis. Mathematical Calculation
4	What is a linear transformation? Is a translation a linear transformation? A translation takes the point (5, 8) to (12, -4). Find where it will take the point (8, 5). A linear transformation T maps the point (x, y) onto (x¹,y¹) where (x¹ , y¹ ) = (x + y, -x + 2y). Determine the matrix T of this transformation. Find the determinant and inverse of T. Mathematical Calculation
5	By using a sketch , find the slope of the point A(5,2) under a reflection in the line y=0, followed by another reflection in the line y=x. Mathematical Calculation
6	The vectors of a triangle are A(2,2),B(3,4) and C(4,3). If the triangle is reflected in the y-axis , write down the coordinates of the image of points A, B and C. Mathematical Calculation

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