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Mathematics 11 Online
OpenStudy (david954954):

Help me with this

OpenStudy (david954954):

OpenStudy (mathmate):

When quadrilateral ABCD is translated to A'B'C'D', we need to know the original coordinates, and the transformation. Original coordinates (you should be able to recognize the following by reading graphs): A(2,-1), B(1,-4) C(3,-5) D(5,-3) The transformation requested is 3 units down, and 4 units left. In the Cartesian plane, positive x direction is to the right, and positive y direction is up. So 3 units down (negative y) and 4 units left make a translation vector of (-4,-3). The translation T(a,b) is defined as translating points a units \(right\) and b units \(up\). So our problem becomes T(-4,-3). The translation transformation is defined as T(a,b): (x,y)->(x+a, y+b) which means that the point (x,y) would become (x+a, y+b). Since our translation vector is (-4,-3), we have a=-4, b=-3. So to translate point A(2,-1)->A'(2-4,-1-3)=A'(-2,-4). You can complete the quadrilateral A'B'C'D' similarly.

OpenStudy (david954954):

WAit I dont get it

OpenStudy (mathmate):

Please start reading from the beginning. What do you not get?

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