triangle ABC has vertices point A (2,1) point B (4,3) and point C (-2,5) find the coordinates of A B and C after dilation with a scale factor of 7 and a center point of dilation at the origin (0,0)
To find the coordinates of A', B', and C' after dilation with a scale factor of 7 and a center point of dilation at the origin (0,0), we multiply the x and y coordinates of each vertex by the scale factor.
For vertex A (2, 1):
x-coordinate of A' = 2 × 7 = 14
y-coordinate of A' = 1 × 7 = 7
Therefore, A' is located at (14, 7).
For vertex B (4, 3):
x-coordinate of B' = 4 × 7 = 28
y-coordinate of B' = 3 × 7 = 21
Therefore, B' is located at (28, 21).
For vertex C (-2, 5):
x-coordinate of C' = -2 × 7 = -14
y-coordinate of C' = 5 × 7 = 35
Therefore, C' is located at (-14, 35).
The coordinates of A', B', and C' after dilation with a scale factor of 7 and a center point of dilation at the origin (0,0) are A' (14, 7), B' (28, 21), and C' (-14, 35), respectively.