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Proving That All Circles Are Similar
Given: Circle X with radius r and circle
Y with radius s
Prove: Circle X is similar to circle Y.
Correct! Assemble the next
statement.
Intro
Statements Reasons
given
translation is a
similarity transformation
Statements
1. circle with center X
has radius r
2.
circle with center Y
has radius s
dilation is a
similarity transformation
a composition of similarity
transformations maps circle X to circle Y
Reasons
1. given
2. given