GIVING BRAINLIEST TO PERSON WHO GIVES CORRECT ANSWER TO THIS CONIC SECTIONS QUESTION

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. What transformations can be applied to Circle 1 to prove that the circles are similar?

Enter your answers in the boxes.

The circles are similar because you can translate Circle 1 using the transformation rule (,) and then dilate it using a scale factor of __

(The underscores are the parts you put your answer)

Question

18-05-2018
Mathematics

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GIVING BRAINLIEST TO PERSON WHO GIVES CORRECT ANSWER TO THIS CONIC SECTIONS QUESTION

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. What transformations can be applied to Circle 1 to prove that the circles are similar?

Enter your answers in the boxes.

The circles are similar because you can translate Circle 1 using the transformation rule (,) and then dilate it using a scale factor of __

(The underscores are the parts you put your answer)

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cdw2014 cdw2014 · Answer 1 · 2018-05-19T00:29:17+02:00

Circle 1's center is at x=-4 and Circle 2's center is at x=5. To translate Circle 1 to Circle 2, we need to shift the circle to the right 9 places:

5 - (-4) = +9

We do the same thing for the y value. We are going from y=-2 to y=3.

3 - (-2) = +5

So the first blank is (9, 5)

Next, the scale factor refers to the factor at which the circle is stretched or shrunk. We find it by comparing the radii. Going from 3 cm to 6 cm, the scale factor is:

6/3 = 2.

The scale factor is 2.