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stiv31 [10]
3 years ago
12

Circle 1 is centered at (5, 8) and has a radius of 8 centimeters. Circle 2 is centered at (1, −2) and has a radius of 4 centimet

ers. What transformations can be applied to Circle 1 to prove that the circles are similar?
The circles are similar because you can translate Circle 1 using the transformation rule ( __ _, ___) and then dilate it using a scale factor of ____
.
Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0
<span>Circle 1 is centered at (5, 8) and has a radius of 8 cm
</span><span>
</span>Circle 2 is centered at (1, −2) and has a radius of 4 cm

To transform circle 1 to circle 2 ⇒⇒ we need to transform (5,8) to (1,-2)
<span>the transformation rule (x-4 , y-10) </span><span>
</span><span>because  5-1 = 4  and   8-(-2) = 10
</span>
<span>while circle 1 has a radius = 8 and the circle 2 has a radius = 4 cm
</span><span>
</span>So, the <span>dilation factor = 4/8 = 0.5
</span><span>
</span>
<span>The correct answer is :
</span>
<span>The circles are similar because you can translate Circle 1 using the transformation rule ( x-4 , y-10) and then dilate it using a scale factor of 0.5</span>


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