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Find Point F so that angle ABC is = to angle DEF

Find Point F so that angle ABC is = to angle DEF-example-1

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Answer

(5, 2)

Explanation

Point D in triangle DEF is the equivalent to point A in ABC. Similarly, E is the equivalent to B. In consequence, F is the equivalent to C.

We can obtain points D and E by translating points A and B 6 units to the right and 4 units up.

Translation 6 units to the right and 4 units up transforms the point (x, y) into (x+6, y+4). Applying this rule to point C:

C(-1, -2) → (-1+6, -2+4) → F(5, 2)

User Lex Lavnikov
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