Answer:
Circle 2 was dilated by (x+9, y+5) and radius was dilated by a scale factor of 2.
Step-by-step explanation:
Circle 1 is centered at (-4, -2) and has a radius of 3 centimeters.
Circle 2 is centered at (5, 3) and has a radius of 6 centimeters.
If circle 2 is the transformation of circle 1.
Let x and y be the shifting of center (-4, -2) of circle 1.
Therefore, x + (-4) = 5 ⇒ x = 4+5 = 9
and x + (-2) = 3 ⇒ x = 3 + 2 = 5
This reveals (-4, -2) has been shifted by (9, 5)
Since radius of circle 1 is 3cm and radius of circle 2 is 6cm.
Therefore circle 1 has been dilated by a factor of 2 to form circle 2.
The translations that can be applied to make circles similar are,
1) Take a mirror image of (-4,-2) about y = -x line.
2) Move 1 unit right of x and then move 1 unit up.
3)Dilate the first circle by a factor of 2.
We need to make the coordinates of the center as well as the length of radius the same.
Coordinates of circle 1≡ (-4,-2)
Coordinates of circle 2≡ (5,3)
Take a mirror image of (-4,-2) about y = -x line. Move 1 unit right of x and then move 1 unit up, dilate the first circle by a factor of 2.
(-4,-2)⇒(4,2)⇒(4+1,2)⇒(5,2)⇒(5,2+1)⇒(5,3)
Therefore, The translations that can be applied to make circles similar are,
1) Take a mirror image of (-4,-2) about y = -x line.
2) Move 1 unit right of x and then move 1 unit up.
3)Dilate the first circle by a factor of 2.
To get more about translations visit:
brainly.com/question/2467920
