Regina drew a triangle with vertices at (1, 2), (3, 3), and (4, 1). She translatesthe triangle 2 units down to create an image. What are the vertices of the image?
(1, 0), (3, 1), and (4, -1)
To translate the triangle 2 units down, you need to subtract 2 from the y-coordinate of each vertex.
The original vertices of the triangle are:
A(1, 2)
B(3, 3)
C(4, 1)
To translate the triangle 2 units down, subtract 2 from the y-coordinate:
New vertex A' = (1, 2 - 2) = (1, 0)
New vertex B' = (3, 3 - 2) = (3, 1)
New vertex C' = (4, 1 - 2) = (4, -1)
Therefore, the vertices of the image after translating the triangle 2 units down are:
A'(1, 0)
B'(3, 1)
C'(4, -1)
To find the coordinates of the image after a translation, we need to shift each vertex of the original triangle by the same amount in the given direction. In this case, since we are translating the triangle 2 units down, we subtract 2 from the y-coordinate of each vertex.
Let's find the new coordinates of each vertex:
Coordinates of the original triangle:
Vertex A: (1, 2)
Vertex B: (3, 3)
Vertex C: (4, 1)
To translate the triangle 2 units down, we subtract 2 from each y-coordinate:
New coordinates after translation:
Vertex A': (1, 2 - 2) = (1, 0)
Vertex B': (3, 3 - 2) = (3, 1)
Vertex C': (4, 1 - 2) = (4, -1)
Therefore, the vertices of the image triangle are A' = (1, 0), B' = (3, 1), and C' = (4, -1).