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

to complete this square you have to rotate about the origin 270 degrees clockwise.

t= half of the arc subtended by t.

r= half of the arc subtended by r.  

t+r= half of the arc subtended by t + half of the arc subtended by r= half of 360=180

step-by-step explanation:

a

step-by-step explanation:

given the 2 equations

- x + y = - 2 → (1)

2x - 3y = 4 → (2)

multiplying (1) by 2 and adding to (2) will eliminate the x- term

- 2x + 2y = - 4 → (3)

add (2) and (3) term by term

(2x - 2x) + (- 3y + 2y) = (4 - 4), simplifying gives

- y = 0 ⇒ y = 0

substitute y = 0 in either of the 2 equations for corresponding value of x

substituting in (2) gives

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 0 ) → a