Question

consider polygon ABCD with coordinate A(8,12), B(10,4), C(4,4), D(2,8).Part A: What are the coordinate A" B" C" D" if we reflect it over the line x axis then dilate by a scale factor 1/2 centered at the origin

Answer 1

The coordinates of polygon ABCD are:

`A\mleft(8,12\mright),B\mleft(10,4\mright),C\mleft(4,4\mright),D\mleft(2,8\mright)`

Step 1: Reflect ABCD over the x-axis.

`A^(\prime)\mleft(8,-12\mright),B^(\prime)\mleft(10,-4\mright),C^(\prime)\mleft(4,-4\mright),D^(\prime)\mleft(2,-8\mright)`

Step 2: Dilate by a scale factor 1/2 centred at the origin.

`A^(\doubleprime)(4,-6),B^{^(\doubleprime)}(5,-2),C^(\doubleprime)(2,-2),D^{^(\doubleprime)}(1,-4)`