Statements Reasons Given: Circle X with radius r and circle
Y with radius s
Prove: Circle X is similar to circle Y.
given
dilation is a
similarity transformation
a composition of similarity
transformations maps circle X to circle Y
translation is a
similarity transformation
Reasons
1. given
XT г.
Y
S
Statements
✓ 1. circle with center X
has radius r
2. circle with center Y
has radius s
3. translate X to Y
2. given
✓ 4. dilate circle X by slr
3. translation is a
similarity transformation
4. dilation is a
similarity transformation
5. a composition of similarity
transformations maps circle X to circle Y
✓ 5. circle X-circle Y
Correct! You have completed this
exercise