Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2). Match the coordinates of the points of the transformed polygons to their correct values.

The answer is that if polygon ABCD rotates 90 counterclockwise to create a'b'c'd', then the coordinates of d will be at the location (-2, 2) and if the polygon ABCD rotates 180 clockwise to create a'b'c'd' the coordinate of A will become (3,-1).

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jajumonac jajumonac · Answer 2 · 2020-04-14T02:42:47+02:00

Answer:

First, we need to know how to transform a figure when we want to rotate it.

If we rotate 90° clockwise, the transformation is from (x,y) to (y,-x), and counter clockwise is from (x,y) to (-y,x).
If we rotate 180° in any direction, the transformation is from (x,y) to (-x.-y).
If we rotate 270° clockwise, the transformation is from (x,y) to (-y,x). And counter clockwise is from (x,y) to (y,-x).

Now, we use these rules to match each statement with its right answer.

First statement:

The coordinates of D', if polygon ABCD rotates 90° counter clockwise to create A'B'C'D', would be (-2,2).

Second statement:

The coordinates of C'' , if polygon ABCD rotates 90° clockwise to create A''B''C''D'', would be (3,-1).

Third statement:

The coordinates of A''', if polygon ABCD rotates 180° clockwise to create polygon A'''B'''C'''D''', would be (4,-2).

Fourth statement:

The coordinates of B'', if polygon ABCD rotates 270° counterclockwise to create polygon A''B''C''D'', would be (4,2).