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UkoKoshka [18]
3 years ago
13

Which sequences of transformations will map circle M onto circle N?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

1: Reflect M across the x-axis

2: Dilate about the center by 3/2

Step-by-step explanation:

Given

See attachment for M and N

Required

Which maps M to N

The coordinates of the radius of the circles are:

M = (5,5)

N = (5,-5)

And the radius of circles are:

r_M=2

r_N=3

The first transformation from M to M' is:

- Reflect across the x-axis

The rule is:

(x,y) \to (x,-y)

M(5,5) \to M'(5,-5)

<em>At this point, M' and N now have the same center but different radius.</em>

The second transformation from M' to N is:

- Dilate about the center by dividing the radius of N by the radius of M

i.e.

k =\frac{r_N}{r_M}

k =\frac{3}{2}

<em>At this point, M has been completely mapped to N.</em>

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Step-by-step explanation:

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JK is formed by J(-12,3) and K(8,-5). If line r is the perpendicular bisector of JK, write an equation for r in slope-intercept
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Step-by-step explanation:

<u>Midpoint of JK:</u>

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<u>Slope of the line JK:</u>

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So the line r has a slope 5/2 and passes through the point (-2, -1)

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<u>So the equation is:</u>

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