Which of these tables correctly matches the list of tools with the task that can be performed with the tools?

Answer
A.pencil, string, ruler = duplicate a rectangle

B.pencil, compass, straightedge = duplicate a triangle

C.pencil, straightedge, ruler = make an exact replica of a square for a given side length

D.pencil, string, straightedge = make an exact replica of a circle for a given radius

What task?

each letter has its on tasks

I'd say B and D, but since they want a single answer, I'd have to say just B, since D doesn't actually need the straightedge.

To determine which table correctly matches the list of tools with the corresponding task, we need to analyze each option and identify whether the given set of tools allows us to perform the specified task.

Option A: pencil, string, ruler = duplicate a rectangle
This option seems incorrect because a string is not typically used to duplicate a rectangle. Instead, you would typically use a straightedge for drawing straight lines and a ruler for measuring and ensuring accurate dimensions.

Option B: pencil, compass, straightedge = duplicate a triangle
This option appears to be correct. With a pencil, compass, and straightedge, you can construct a triangle by drawing the sides and angles accurately.

Option C: pencil, straightedge, ruler = make an exact replica of a square for a given side length
This option seems incorrect because a square requires equal sides and angles, which cannot be achieved with just a straightedge and ruler. Additionally, a square can be easily duplicated using the same side length measurement and not necessarily a ruler.

Option D: pencil, string, straightedge = make an exact replica of a circle for a given radius
This option appears incorrect because a string is typically used with a compass to draw a circle. The compass allows you to set the radius using the string, while the pencil and straightedge are used for drawing the circle accurately.

Based on our analysis, option B (pencil, compass, straightedge = duplicate a triangle) seems to be the correct table that matches the tools with the corresponding task.