Given a hexagon ABCDEF. Find the coordinates of the hexagon if the coordinates of the image after the following dilation and transformation is done such as a reflection about the line y=-x followed by a dilation with center at the origin with a scale factor of r=4/3 are: A"(-16/3, 0); B"(-8, -8/3); C"(-8, -20/3); D"(-4, -8); E"(-4/3, -16/3)' and F"(-4/3, -4/3). Draw the images and the pre-image in one rectangular coordinate plane.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given a hexagon ABCDEF. Find the coordinates of the hexagon if the coordinates of the image after the following dilation and transformation is done such as a reflection about the line y=-x followed by a dilation with center at the origin with a scale factor of r=4/3 are: A"(-16/3, 0); B"(-8, -8/3); C"(-8, -20/3); D"(-4, -8); E"(-4/3, -16/3)' and F"(-4/3, -4/3). Draw the images and the pre-image in one rectangular coordinate plane.

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