Scale drawing - Ratio and Proportion by URBrainy.com - Free Printable

Problem Description:

The task is to draw the given shapes accurately to scale using a ruler. The diagrams provided are not drawn to scale, and the dimensions of each shape are explicitly labeled. The goal is to create precise drawings based on these dimensions.

Solution Approach:

1. Understand the Dimensions: Each shape has specific measurements provided. Use these measurements to ensure accuracy.
2. Use a Ruler: A ruler is essential for drawing straight lines and ensuring that the lengths match the given dimensions.
3. Draw Step-by-Step: Break down each shape into smaller components (e.g., rectangles, squares) and draw them one by one.
4. Check Accuracy: After drawing, double-check the dimensions to ensure they match the provided measurements.

Detailed Solution for Each Shape:

#### Shape 1: Rectangle
- Dimensions: Length = 6 cm, Width = 3 cm
- Steps:
1. Draw a horizontal line of 6 cm.
2. From both ends of this line, draw perpendicular lines of 3 cm upwards.
3. Connect the top ends of these perpendicular lines with a horizontal line of 6 cm.
4. Ensure all lines are straight and the corners are right angles.

#### Shape 2: L-shaped Figure
- Dimensions: Outer dimensions = 5 cm × 3 cm; Inner cut-out = 2 cm × 1 cm
- Steps:
1. Draw a rectangle of 5 cm × 3 cm.
2. From the top-right corner of the rectangle, measure 2 cm horizontally inward and mark a point.
3. From the same top-right corner, measure 1 cm vertically downward and mark a point.
4. Draw a vertical line from the top-right corner to the marked point (1 cm down).
5. Draw a horizontal line from the end of the vertical line to the marked point on the top edge (2 cm inward).
6. Ensure the inner cut-out is precisely 2 cm × 1 cm.

#### Shape 3: Staircase-like Figure
- Dimensions: Total height = 7 cm, Total width = 7 cm; Steps = 4 cm × 3 cm
- Steps:
1. Draw a vertical line of 7 cm.
2. From the bottom of this line, draw a horizontal line of 7 cm.
3. From the end of the horizontal line, draw another vertical line of 3 cm.
4. From the end of this vertical line, draw a horizontal line of 4 cm.
5. Ensure the steps are aligned correctly and the total dimensions are 7 cm × 7 cm.

#### Shape 4: Cross-shaped Figure
- Dimensions: Each arm of the cross = 2 cm × 2 cm
- Steps:
1. Draw a central square of 2 cm × 2 cm.
2. Extend a horizontal line of 2 cm to the left and right from the center.
3. Extend a vertical line of 2 cm upwards and downwards from the center.
4. Ensure all lines are straight and the arms are symmetrical.

#### Shape 5: Zigzag Path
- Dimensions: Total length = 6 cm; Zigzag segments = 1 cm × 1 cm
- Steps:
1. Draw a horizontal line of 1 cm.
2. From the end of this line, draw a vertical line of 1 cm upwards.
3. From the end of the vertical line, draw a horizontal line of 1 cm to the right.
4. Repeat the pattern (vertical up, horizontal right) until the total length is 6 cm.
5. Ensure all segments are 1 cm long and the path is zigzagged as shown.

Final Answer:

To solve the problem, follow the step-by-step instructions above for each shape. Use a ruler to ensure all lines are straight and the dimensions are accurate. The final drawings should match the provided dimensions precisely.

\boxed{\text{Follow the detailed steps for each shape to draw them to scale.}}