Brainliest and 11 pts!

Polygons EFGH and E′F′G′H′ are shown on the coordinate grid: A coordinate plane with two polygons is shown. Polygon EFGH has vertices E at 1 comma 1, F at 1 comma 4, G at 5 comma 4, and H at 4 comma 1. Polygon E prime F prime G prime H prime has vertices at E prime negative 1 comma 2, F prime negative 4 comma 2, G prime negative 4 comma 6, and H prime at negative 1 comma 5. What set of transformations is performed on EFGH to form E′F′G′H′? A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin A 90-degree clockwise rotation about the origin followed by a translation 2 units to the right A 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

Respuesta :

It is helpful to plot the points, then mentally test the answers for plausibility. Translation of E 1 unit to the right puts it at (2, 1), then rotation counterclockwise 90° about the origin puts it at (-1, 2), the location of E'.

The appropriate choice seems to be
  A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin


_____
Translation 1 unit right: (x, y) ⇒ (x+1, y)
Rotation 90° CCW: (x, y) ⇒ (-y, x)
Both transformations in that order: (x, y) ⇒ (-y, x+1)
Ver imagen sqdancefan

Answer:

 A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

Step-by-step explanation:

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