To find the new triangle after undergoing a dilation with a scale factor of 3 and a center of dilation at the origin, you need to multiply each coordinate of the vertices by the scale factor.
Given the vertices of the triangle:
- A = (1, 1)
- B = (2, 3)
- C = (3, -1)
We will apply the scale factor of 3 to each vertex:
-
For vertex A: \[ A' = (3 \cdot 1, 3 \cdot 1) = (3, 3) \]
-
For vertex B: \[ B' = (3 \cdot 2, 3 \cdot 3) = (6, 9) \]
-
For vertex C: \[ C' = (3 \cdot 3, 3 \cdot (-1)) = (9, -3) \]
Now, the new vertices of the triangle after dilation are:
- A' = (3, 3)
- B' = (6, 9)
- C' = (9, -3)
Thus, the new triangle is formed by the vertices:
- A' = (3, 3)
- B' = (6, 9)
- C' = (9, -3)
3 answers