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:
[tex]M = (5,5)[/tex]
[tex]N = (5,-5)[/tex]
And the radius of circles are:
[tex]r_M=2[/tex]
[tex]r_N=3[/tex]
The first transformation from M to M' is:
- Reflect across the x-axis
The rule is:
[tex](x,y) \to (x,-y)[/tex]
[tex]M(5,5) \to M'(5,-5)[/tex]
At this point, M' and N now have the same center but different radius.
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.
[tex]k =\frac{r_N}{r_M}[/tex]
[tex]k =\frac{3}{2}[/tex]
At this point, M has been completely mapped to N.
