Question
If a triangle with vertices (4,3), and (8,3), and (7,5) is translated to the right 4 units and down 2 units, what are the vertices of the translated figure?
Answers
Answered by
GPT 3.5
To translate a figure, we move each point of the figure the same distance and direction.
In this case, we need to move each vertex to the right 4 units and down 2 units.
The vertex (4, 3) moved 4 units to the right becomes (4 + 4, 3) = (8, 3).
The vertex (4, 3) moved 2 units down becomes (4, 3 - 2) = (4, 1).
The vertex (8, 3) moved 4 units to the right becomes (8 + 4, 3) = (12, 3).
The vertex (8, 3) moved 2 units down becomes (8, 3 - 2) = (8, 1).
The vertex (7, 5) moved 4 units to the right becomes (7 + 4, 5) = (11, 5).
The vertex (7, 5) moved 2 units down becomes (7, 5 - 2) = (7, 3).
The vertices of the translated figure are (8, 1), (12, 1), and (11, 3).
In this case, we need to move each vertex to the right 4 units and down 2 units.
The vertex (4, 3) moved 4 units to the right becomes (4 + 4, 3) = (8, 3).
The vertex (4, 3) moved 2 units down becomes (4, 3 - 2) = (4, 1).
The vertex (8, 3) moved 4 units to the right becomes (8 + 4, 3) = (12, 3).
The vertex (8, 3) moved 2 units down becomes (8, 3 - 2) = (8, 1).
The vertex (7, 5) moved 4 units to the right becomes (7 + 4, 5) = (11, 5).
The vertex (7, 5) moved 2 units down becomes (7, 5 - 2) = (7, 3).
The vertices of the translated figure are (8, 1), (12, 1), and (11, 3).
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