The image you've provided explains the concept of
scale drawing with a visual example involving two versions of a robot (likely a Transformer) — one smaller and one larger.
Let’s break down the problem and solution step by step:
---
🔍 What is a Scale Drawing?
A
scale drawing is a representation of an object that has been reduced or enlarged from its original size according to a specific ratio. This ratio is called the
scale.
>
Scale = size of scale drawing : size of original object
In this case, the
scale ratio is 1:2, which means:
- The
scale drawing is
1 unit for every
2 units of the
original object.
- So, the drawing is
half the size of the actual object.
---
🧩 Visual Explanation
- The
smaller robot (labeled "scale drawing") is shown with a height of
1 unit.
- The
larger robot (labeled "original object") is shown with a height of
2 units.
- A dashed line connects corresponding points on both robots, showing proportional scaling.
So:
- If the original robot is 2 meters tall, the scale drawing would be 1 meter tall.
- If the original is 4 feet wide, the drawing would be 2 feet wide.
- The
ratio remains constant: 1:2.
---
✔ Example Problem (Based on Image)
Suppose:
The original robot is
6 feet tall.
What is the height of the scale drawing?
Solution:
Use the scale ratio:
$$
\text{Scale drawing} : \text{Original} = 1 : 2
$$
So,
$$
\frac{\text{Scale drawing}}{\text{Original}} = \frac{1}{2}
$$
$$
\text{Scale drawing} = \frac{1}{2} \times 6 = 3 \text{ feet}
$$
✔ Therefore, the scale drawing would be
3 feet tall.
---
📌 Key Takeaways
-
Scale ratio 1:2 means the drawing is
half the size of the real object.
- You can use proportions to find missing dimensions.
- Always keep units consistent when solving.
---
🎯 Summary
This image teaches that:
- A
scale drawing uses a
ratio to represent real-world objects proportionally.
- In this example,
1:2 means the drawing is
reduced to half the size.
- This concept is widely used in architecture, engineering, maps, and model building.
Let me know if you'd like to solve a similar problem with different numbers!
Parent Tip: Review the logic above to help your child master the concept of 7th grade math scale factor worksheet.
