Two groups of students are asked to depict a picture of a semi-circular pizza. Group 1 uses a ruler to depict the base of the shape and completes the semi-circle with a pencil. Group 2 uses a ruler to make a line of 10 inches to depict the base of the pizza and uses a compass to make a semicircle of radius 5 inches from the center of the line.
Which of these statements is correct about the two depictions?
Answer
A.Both group 1 and group 2 draw the picture.
B.Both group 1 and group 2 construct the picture.
C.Group 1 draws and group 2 constructs the picture.
D.Group 1 constructs and group 2 draws the picture.
I guess I'd have to say C.
To determine which statement is correct about the two depictions, let's analyze the methods used by each group.
Group 1 uses a ruler to draw the base of the shape, which creates a straight line. Then, they use a pencil to complete the semi-circle. This method is called drawing since they're using freehand to complete the shape.
Group 2, on the other hand, uses a ruler to draw a line of 10 inches to represent the base of the pizza. Then, they use a compass to draw a semi-circle with a radius of 5 inches, centered on the midpoint of the base line. This method is called construction since they're using specific tools and measurements to create the shape accurately.
Based on this analysis, we can conclude that:
A. Both group 1 and group 2 did not construct the picture since only group 2 used specific tools and measurements.
B. Group 1 did not construct the picture since they didn't use any specific tools or measurements, only freehand drawing.
C. Group 1 did draw the picture since they used a ruler to draw the base. However, group 2 constructed the picture since they used a compass to make a specific radius, measurements, and a ruler.
D. Group 1 did not construct the picture since they didn't use any specific tools or measurements. Group 2 did draw the picture, but they also constructed it by using a compass and measurements.
Therefore, the correct statement would be:
C. Group 1 draws and group 2 constructs the picture.