Describe the dialation of triangle ABC, with a scale factor of 5 and a center point of dialation at the origin (0,0
The dilation of triangle ABC with a scale factor of 5 and center point of dilation at the origin (0,0) involves multiplying the coordinates of each vertex of the original triangle by a factor of 5.
Let's assume the coordinates of the original triangle ABC are:
A(x1, y1),
B(x2, y2),
C(x3, y3).
After dilation, the new coordinates of the triangle ABC, denoted as A'(x1', y1'), B'(x2', y2'), and C'(x3', y3'), can be found using the following formulas:
A'(x1', y1') = (5x1, 5y1),
B'(x2', y2') = (5x2, 5y2),
C'(x3', y3') = (5x3, 5y3).
The resulting triangle is similar to the original triangle, but with all side lengths and angles enlarged by a factor of 5.