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After transformation the area, shape, angles and line length remains the same. These shapes formed after turning, flipping

and/or sliding and the initial shapes are both called congruent. This transformation from one form to other is called

congruence transformation. During transformation every point of the object moves in the same direction and same distance.

The following 2 examples will help to better understand congruence transformation.

Figure 1 coordinates are (-4, 3), (-1, 3), (-4, 1) and (-1, 1)

Figure 2 coordinates are (1, 4), (3, 4), (3, 1) and (1, 1)

Figure 1 is a square which when forms a mirror image towards right

(-4, 3), (-1, 3), (-4, 1) and (-1, 1) = (4, 3), (1, 3), (4, 1) and (1, 1)

Then rotated 90 degrees around the point (1,1)

(4,3), (1,3), (4,1) and (1,1) = (1,4), (3,4), (1,3) and (1,1), we get Figure 2

Figure 2 coordinates are (2, 1), (2, 2) and (3, 1)

Figure 1 is a triangle which when flipped towards right it forms a mirror image

(1,0), (1,1) and (0,0) = (1,0), (1,1) and (2,0)

Then this figure is moved, we get figure 2

(1,0), (1,1) and (2,0) = (2,1), (2,2) and (3,1).