Active Proving That All Circles Are Similar
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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
Statements
✓ 1. circle with center X
has radius
circle with center Y
has radius s
Select the correct reason for this
statement
Intro

pi x^2

step-by-step explanation:

pi times x squared

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus