Question

Trace the shape.

How would the image be different if point "A"
were closer to the triangle?

Answer 1

I don't have the picture you mean, so I can't give a specific description. Could you attach the image or say how point A is being used (center of rotation, center of dilation, viewpoint for a projection, light source for a shadow, reflection center, etc.)?

Meanwhile, here are the most common interpretations and what moving A does in each case:

- Center of rotation: the traced path of any vertex is a circle centered at A with radius equal to the distance from A to that vertex. If A is moved closer to the triangle, those radii get smaller, so the traced circles (or arcs) shrink.

- Center of dilation (scaling about A): each vertex is sent along the ray from A through the vertex. Moving A closer to the triangle changes the starting point of those rays and thus the positions of the dilated image; generally the image will move and its apparent size relative to the original will change depending on the chosen scale factor and A’s new position.

- Perspective viewpoint / projection (A is the eye or light source projecting the triangle onto a plane): bringing A closer to the triangle increases perspective distortion and the projected image becomes larger and more “stretched” (rays are more divergent). If A moves away, the projection becomes smaller and more similar to the original shape.

- Shadow from a light at A onto a plane: a closer light makes the shadow larger and more distorted; a farther light makes the shadow smaller and more similar to the object.

If you tell me which of these (or upload the picture), I’ll give the exact change to the image and a sketch of the new shape.