Final answer:
A dilation of triangle ABC from center A by a factor not equal to 1 will result in triangle AKL with proportionally longer or shorter sides, equal corresponding angles, and preserved shape.
Step-by-step explanation:
When triangle ABC is dilated from center A by a factor not equal to 1 to form triangle AKL, several properties must hold true:
The corresponding sides of the triangles will be proportionally longer or shorter, depending on whether the dilation factor is greater than or less than 1.
The corresponding angles of triangles ABC and AKL will remain equal, as dilation preserves angle measure.
Since A is the center of dilation and the dilation factor is not equal to 1, points B and C will move to points K and L respectively, and line segments AB and AC will scale up or down to AK and AL by the dilation factor.
Similar triangles are an important concept here because dilation will preserve the shape of the triangle but change its size.