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Write a paragraph proof of the Corollary to Theorem 3-4.

 

Corollary to Theorem 3-4 if u dk:

 

Any rigid motion can be expressed as a composition of reflections.

 

If... M is a rigid motion

 

Then... \(M=r_ℓ or M=R_ℓ \cdot R_m or M= R_ℓ\cdot R_m \cdot R_n\)

 

Note that the black dot is not multiplication, but it is the symbol to represent a composition of rigid motions.

 

And, in your proof, can you only use knowledge that a geometry student learns in the first half of his school year? (that's me)

 Jan 11, 2024
edited by DS2011  Jan 11, 2024

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