A triangles has virtices of (0,0), (0,4), and (2,0). Find new

UkusakazaL 2021-08-17 Answered
A triangles has virtices of (0,0), (0,4), and (2,0).
Find new vertices if:
A. \(\displaystyle{\left({x},{y}\right)}\to{\left({x}-{4}+{3}\right)}\)
B. \(\displaystyle{\left({x},{y}\right)}\to{\left(−{x},{y}\right)}\)
C. \(\displaystyle{\left({x},{y}\right)}\to{\left(−{y},{x}\right)}\)

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Expert Answer

2abehn
Answered 2021-08-18 Author has 13875 answers
A. Using the rule \(\displaystyle{\left({x},{y}\right)}\to{\left({x}-{4},{y}+{3}\right)}\)
\(\displaystyle{\left({0},{0}\right)}\to{\left({0}-{4},{0}+{3}\right)}={\left(-{4},{3}\right)}\)
\(\displaystyle{\left({0},{4}\right)}\to{\left({0}−{4},{4}+{3}\right)}={\left(-{4},{7}\right)}\)
\(\displaystyle{\left({2},{0}\right)}\to{\left({2}−{4},{0}+{3}\right)}={\left(-{2},{3}\right)}\)
B. \(\displaystyle{\left({x},{y}\right)}\to{\left(-{x},{y}\right)}\)
\(\displaystyle{\left({0},{0}\right)}\to{\left({0},{0}\right)}\)
\(\displaystyle{\left({0},{4}\right)}\to{\left({0},{4}\right)}\)
\(\displaystyle{\left({2},{0}\right)}\to{\left(-{2},{0}\right)}\)
C. \(\displaystyle{\left({x},{y}\right)}\to{\left(-{y},{x}\right)}\)
\(\displaystyle{\left({0},{0}\right)}\to{\left({0},{0}\right)}\)
\(\displaystyle{\left({0},{4}\right)}\to{\left(-{4},{0}\right)}\)
\(\displaystyle{\left({2},{0}\right)}\to{\left({0},{2}\right)}\)
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