Question

Drag the tiles to the boxes to form correct pairs. 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.

Answer 1

Answer:

D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)

Step-by-step explanation:

For D', we rotate the point (2, 2) 90° counterclockwise. This maps every point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).

For C'', we rotate the point (1, 3) 90° clockwise.  This maps every point (x, y)→(y, -x); it takes (1, 3)→(3, -1).

For A''', we rotate the point (-4, 2) 180° clockwise.  This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).

For B'', we rotate the point (-2, 4) 270° counterclockwise.  This is the same as rotating the point 90° clockwise.  This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).

Answer 2

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