Question

Choose all the rigid mapping rules that hold congruence.

Answer 1

Rigid mapping is used to illustrate rigid transformation.

The rigid mapping rules are:

• (a) (x, y)->(y,x)  
• (c) (x, y)->(-y, x)
• (d) (x, y)-> (-y +4, X-6)
• (e) (x, y)->(x + 4, y-5)
• (f) (x, y)->(x, x+y)

All transformations are rigid except dilation.

This is so, because dilation changes the size of the function that is being transformed, while others do not.

Dilations are represented by scale factors (product or division)

From the list of given options

(b) (x, y)->(3x, y) and (c) (x,y)-> (3) are non-rigid mapping because they represent dilations.

Hence, the rigid mapping rules are:

• (a) (x, y)->(y,x)  
• (c) (x, y)->(-y, x)
• (d) (x, y)-> (-y +4, X-6)
• (e) (x, y)->(x + 4, y-5)
• (f) (x, y)->(x, x+y)

Read more about transformation at:

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