Question

Translations 2 Name: Date: 10 Translation T maps point (26) to point (4,-1). What is the image of point (-1,3) under translation T? A translation maps P(3,-2) to P'(1, 1). Under the same translation, find the coordinates of ', the image of e-3,2) 11 A translation maps P(4, 1) to P '(2. - 1). What are the coordinates of Q', the image of C,3) under the same translation? 12 13 A translation maps P(4,-3) onto P'(0, 0). Find the coordinates of Q', the image of -2,1) under the same translation. A translation maps the origin to the point (5,-3). What is the image of the point (-3,2) under the same translation? 14 Under a given translation, the origin maps onto the point (3,5). What is the image of the point (7,-1) under this same translation? 15 16 A translation maps the point (5,-2) to a point (0, -2). What is the image of the point (0.-2) under the same translation? 7 A translation maps (2, 1) onto (-3,2). Find the image of (4,-1) under the same translation. B A translation maps P(3,-2) onto P'(5,0). Find the coordinates of the image of Q4,-6) under the same translation. A translation maps A(-2, 1) onto A'(2, 2). Find the coordinates of B', the image of B(-4,-5), under the same translation.

Answer 1

As Translation changes X and Y co-ordinates by a fixed quantity, we can say that

a) T(-1,3) will be (1,-4) as X co-ordinate increases by 2 and Y decreases by 7

a) Q(-3,2) will be (-5,5) as X co-ordinate decreases by 2 and Y increases by 3

a) Q(1,3) will be (-1,1) as X co-ordinate decreases by 2 and Y decreases by 2

a) Q(-2,1) will be (-6,4) as X co-ordinate decreases by 4 and Y increases by 3

$\blacksquare$

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