Write the coordinates of the vertices after a dilation with a scale factor of centered at the origin. 3
Hint: Multiply the coordinates of each point by 1/3
what is b c d
To find the coordinates of the vertices after a dilation with a scale factor of 3 centered at the origin, we need the original coordinates of the vertices.
Let's assume the original coordinates of the vertices are:
Vertex A: (x₁, y₁)
Vertex B: (x₂, y₂)
Vertex C: (x₃, y₃)
Vertex D: (x₄, y₄)
To find the new coordinates of the vertices after dilation with a scale factor of 3 centered at the origin, we need to multiply each coordinate by 1/3 (the reciprocal of the scale factor):
New Coordinate of Vertex A: (1/3 * x₁, 1/3 * y₁) = (x₁/3, y₁/3)
New Coordinate of Vertex B: (1/3 * x₂, 1/3 * y₂) = (x₂/3, y₂/3)
New Coordinate of Vertex C: (1/3 * x₃, 1/3 * y₃) = (x₃/3, y₃/3)
New Coordinate of Vertex D: (1/3 * x₄, 1/3 * y₄) = (x₄/3, y₄/3)
Therefore, the new coordinates of the vertices after the dilation with a scale factor of 3 centered at the origin are:
Vertex A: (x₁/3, y₁/3)
Vertex B: (x₂/3, y₂/3)
Vertex C: (x₃/3, y₃/3)
Vertex D: (x₄/3, y₄/3)