Certainly! Let's break down the exercise step by step, detailing each part to make it clear how to solve this.
### Exercise 21.2:
You are asked to complete three main tasks: draw a circle, draw two triangles with specified side lengths, and practice drawing some patterns to create a full-page design.
#### 1. Draw a Circle:
Step 1:
- Draw a circle with a radius of 6 cm.
How to do it:
- Take a compass.
- Measure 6 cm on the compass.
- Place the compass point on the paper where you want the center of the circle to be.
- Rotate the compass 360 degrees to draw the full circle.
#### 2. Draw Triangles:
Step 2:
- Draw a triangle with the following side lengths:
- Two sides of 6 cm.
- One side of 8.5 cm.
How to do it:
- Use a ruler to measure and draw the first side of 6 cm.
- Use the compass to measure and draw an arc from one end of the 6 cm line using a 6 cm radius.
- From the other end of the 6 cm line, use the compass to draw an arc with an 8.5 cm radius.
- The intersection of the two arcs determines the third vertex of the triangle.
- Connect the vertices to form the triangle.
Step 3:
- Draw an equilateral triangle (all sides are equal), where each side is 7.5 cm.
How to do it:
- Measure 7.5 cm on the ruler and draw the first side.
- Using a compass set to 7.5 cm, draw arcs from both ends of the line.
- The point where the arcs intersect is the third vertex.
- Connect the vertices to form the equilateral triangle.
#### 3. Practise Drawing Patterns:
Step 4:
- Practice drawing some of the given patterns.
- You can start with simple geometric patterns or any predefined ones you're comfortable with.
Step 5:
- Combine these patterns creatively to design an interesting full-page layout.
Tips for Patterns and Full-Page Design:
- Use repetition of simple shapes (circles, triangles, squares) to form intricate patterns.
- Symmetry can create a more aesthetically pleasing design.
- Alternate shading or colors to emphasize different areas.
- Be patient and try multiple layouts before finalizing your design; often, ideas develop as you draw.
Remember, the objective is to practice your precision in geometric drawing and creativity in pattern creation. Have fun with the design process and explore different combinations to create your desired full-page design.
