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nicholasryanencarnac
nicholasryanencarnac
09.11.2020 • 
Mathematics

A parallelogram has vertices A(0,3), B(-2,3), C(-4,2), D(-2,2). Parallelogram ABCD is transformed to parallelogram A''B''C''D'' by a dilation, with the origin as the center of dilation and a scale factor of 3, followed by a reflection across the y-axis. Find the coordinates of the vertices of A''B''C''D'', and state whether the two parallelograms are similar or congruent. Justify your answer. A. The coordinates of A''B''C''D'' are A''(0,9), B''(6,9), C''(12,6), D''(6,6). Parallelogram ABCD is similar to parallelogram A''B''C''D'' because a dilation with a scale factor that does not equal 1 produces an image that is similar, but not congruent, to the original figure.

B. The coordinates of A''B''C''D'' are A''(0,9), B''(6,9), C''(12,6), D''(6,6). Parallelogram ABCD is congruent to parallelogram A''B''C''D'' because rotations and dilations are congruence transformations.

C. The coordinates of A''B''C''D'' are A''(0,-9), B''(-6,-9), C''(-12,-6), D''(-6,-6). Parallelogram ABCD is similar to parallelogram A''B''C''D'' because a dilation with a scale factor that does not equal 1 produces an image that is similar, but not congruent, to the original figure.

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