A polygon is shown on the graph: A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.

What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.

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  angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.

Step-by-step explanation:

The proposed transformation is ...

  (x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down

Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.

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The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.