Math Problem Statement

The user uploaded an image of a math worksheet with instructions to plot points on graph paper and create geometric figures by connecting the points.

Solution

The worksheet is a set of instructions for plotting points on graph paper and connecting them to form geometric figures. Here's a detailed explanation of the task:

Task Overview:

  1. Setting up the Graph:

    • Draw a Cartesian coordinate system (orthonormal axes) with the origin in the center.
    • Use the specified scales:
      • X-axis (horizontal): From -14 to +15.
      • Y-axis (vertical): From -9 to +8.
  2. Specific Instructions:

    • For each task (1 to 5), plot the given points on graph paper.
    • Once the points are plotted, connect them in black ink as described.

Steps for Each Section:

1. Task 1: Plot and Connect Points M1 to M26

  • Points: M1(-1, 1), M2(1, 1), M3(3, 0.6), ..., up to M26(-2, -2).
  • Connect the points sequentially: M1 → M2 → ... → M26 → M1 to form a closed figure.

2. Task 2: Plot and Connect Points B1 to B3

  • Points: B1(12, 1), B2(13, 3), B3(13.5, 1).
  • Connect the points in the sequence: B1 → B2 → B3 → B1 to form a triangle.

3. Task 3: Plot and Connect Points A1 to A3

  • Points: A1(11, -2), A2(11, -3), A3(13.5, -3.5).
  • Connect the points: A1 → A2 → A3 → A1 to form another triangle.

4. Task 4: Plot and Connect Points C1 to C6

  • Points: C1(11, 5), C2(13, 4), C3(14, 5), ..., C6(11, -6).
  • Connect the points sequentially: C1 → C2 → ... → C6 → C1.

5. Task 5: Plot and Connect Points D1 to D18

  • Points: D1(-7, -9), D2(-7, -4), ..., D18(-4, -3).
  • Connect the points: D1 → D2 → ... → D18 → D1.

Suggestions for Completing the Task:

  1. Use graph paper for precision.
  2. Start by marking the axes and ensuring the scale is consistent.
  3. Carefully plot each point, ensuring accuracy.
  4. Use a ruler to connect the points with straight lines.
  5. Label each point for clarity.

Do you want me to help you:

  1. Verify or explain any specific part of this worksheet?
  2. Generate a digital example of one of these plots?
  3. Analyze or confirm any mathematical patterns in the coordinates?
  4. Provide tips for graphing effectively?
  5. Review the expected figure from this task?

Tip: Double-check coordinates before connecting to avoid errors in the final figure.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Plotting Points
Constructing Geometric Figures

Formulas

No explicit formulas are required, but accurate plotting and connecting of points are essential.

Theorems

Basic principles of coordinate geometry and symmetry.

Suitable Grade Level

Grade 7-9