Ida plans to construct a square showing exact measurements of the sides. Which combination of tools would best help Ida construct the square?
Answer
A: pencil, compass, and straightedge
B: pencil, string, and compass
C: pencil, ruler, and straightedge
D: pencil, straightedge, and string
all you need is a pencil, paper, compass, and a straightedge. Remember how to make a perpendicular to a line with a compass?
The best combination of tools that would help Ida construct the square is option A: pencil, compass, and straightedge.
To construct a square with exact measurements of the sides, Ida would need to draw four equal lines that are perpendicular to each other. Here's how she could use the tools in option A to achieve this:
1. Pencil: Ida would use a pencil to make markings on the paper.
2. Compass: The compass is used to create an arc or circle with a fixed radius. Ida can set the compass to the desired length of the square's side and use it to construct arcs or circles on the paper.
3. Straightedge: A straightedge is a ruler or any straight object that can be used to draw straight lines. Ida can use a straightedge along with the compass to draw lines that are perpendicular to each other, creating the sides of the square.
By using the compass to draw arcs or circles with the same radius at four points, Ida can then connect the points with straight lines using the straightedge. This process will result in a square with all sides equal and right angles at each corner.
Option B is not the best choice because adding a string does not contribute to the specific task of constructing a square with exact measurements of the sides.
Option C is also not the best choice because a ruler alone cannot create arcs or circles, which are necessary for constructing a square.
Option D is not the best choice because adding a string does not add any significant benefit to the construction of the square.
Therefore, option A (pencil, compass, and straightedge) is the most suitable combination of tools for Ida to construct the square.