Lets reverse the order1)Then reflect the translated triangle over the x=1 (this is a vertical line)2)First translate the triangle with the rule (x,y) (x+2,y-4)

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29-10-2022
Mathematics

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Lets reverse the order1)Then reflect the translated triangle over the x=1 (this is a vertical line)2)First translate the triangle with the rule (x,y) (x+2,y-4)

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LabrandonZ234812 LabrandonZ234812 · Answer 1 · 2022-10-29T04:47:48+02:00

Explanation:

When we reflect over the line x=1, we get a new triangle as:

Where A and A' are at the same distance from the line x = 1, B and B' are at the same distance from x = 1, and C and C' are at the same distance from x = 1

Then, when we apply the rule (x, y) ----> (x+2, y-4), we will translate the reflected figure, 2 units to the right, and 4 units down. So, the translated triangle is the green triangle:

Therefore, the new coordinates of the final triangle are:

A''(4, -4)

B''(5, -2)

C''(1, 0)