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Roman55 [17]
3 years ago
9

41. What is the image of O(- 3, - 2) after two reflections, first across the line y = - 5 , then across the line x = 1 ? (1 poin

t) A(-3,-8)
B(-3,-2)
C (5,-2)
D(5,8)
D is correct please show me steps on why
Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

D(5,-8)

Step-by-step explanation:

The given point is (-3,-2)

When we reflect in the line y=k, we use the rule (x, 2k-y)

This implies that:

(-3, - 2)\to (-3, 2*-5--2)

(-3, - 2)\to (-3,  - 8)

When we reflect in the line x=k, we use the rule

(x,y)\to (2k-x,y)

Now we have x=1

This implies that:

( - 3, - 8)\to (2 \times 1- - 3, - 8)

( - 3, - 8)\to (5, - 8)

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