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Triangle ABC: A(0,-1), B(0,3) C(-3,3) is transformed to triangle A’B’C’: A’(5,0) B’(2,4) C’(5,4). Is this transformation a rigid motion? explain how you know whether it is a rigid motion or not

Triangle ABC: A(0,-1), B(0,3) C(-3,3) is transformed to triangle A’B’C’: A’(5,0) B’(2,4) C’(5,4). Is this transformation a rigid motion? explain how you know wh class=

Answer :

Answer:

The shapes are identical before and after transformation, so the transformation is rigid.

Explanation:

If A transformation is rigid, then the shapes are identical before and after the transformation.

Triangle ABC: A(0, -1), B(0, 3) C(-3, 3)

AB = (0, 4)

BC = (-3, 0)

BA = (3, -4)

Triangle A'B'C' = A'(5, 0), B'(2, 4), C'(5, 4)

A'B' = (-3, 4)

B'C' = (3, 0)

C'A' = (0, -4)

The transformation is rigid, since the shapes are identical (they only differ in sense).C' = (3, 0)

B

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