Question

1 select all of the digital construction tools that do the same job as a pencil alone (without straightedge or compass). a point plotted on an object b polygon c circle with center through point d point of intersection e line 2 how can you test to see if a diagram made using digital tools is a construction or just a drawing based on estimation? 3 han used digital tools to construct what he thought was a rectangle, shown in figure 1. when he moved point a, figure 2 appeared on the screen. figure 1 c d a b figure 2 c d a b what did han do wrong?

Explanation:

1. A pencil alone can mark a point. A point - plotted on an object is similar as it marks a single location. A polygon requires multiple connected points and more than just a single - point marking like a pencil. A circle with center through point needs a concept of radius and circular formation which is more complex than a simple pencil mark. A point of intersection is a result of two or more lines or curves intersecting and is not just a simple mark. A line requires a straight - edge to draw accurately with a pencil, while a digital line is a more complex construction. So only a point plotted on an object is similar to what a pencil alone can do.
2. In a construction, geometric relationships are maintained when elements are moved. In a drawing based on estimation, these relationships will break. For example, in a geometric construction of a rectangle, the side - length ratios and angle measures are fixed by construction rules. If moving a point in a digital diagram causes the shape to lose its rectangular properties (like right - angles or parallel sides), it was likely just an estimated drawing.
3. Han likely did not use the proper construction constraints. In a rectangle, opposite sides are parallel and equal, and all angles are right - angles. When he moved point A and the shape changed to a non - rectangular shape, it means he did not lock the geometric relationships such as parallelism and perpendicularity that define a rectangle.

Answer:

1. A. Point plotted on an object
2. Try moving elements of the diagram. If geometric relationships (such as side - length ratios, angle measures, parallelism, and perpendicularity) are maintained, it is a construction; if not, it is an estimated drawing.
3. He did not use the appropriate geometric construction constraints to ensure that the shape remained a rectangle when a point was moved, such as not locking in parallel and perpendicular relationships.