https://file.aiquickdraw.com/mathbot/file/1729533604868oxxfxpcy.jpg

To enlarge the triangle by a scale factor of 3 using the blue dot as the center of enlargement, follow these steps:

### Step-by-Step Process:

1. **Identify the center of enlargement** (the blue dot).
2. **Measure the distance** from the blue dot (center of enlargement) to each vertex of the triangle.
3. **Multiply the distance** from the center to each vertex by the scale factor (which is 3 in this case).
4. **Plot the new vertices** by extending the lines from the center (blue dot) through each vertex by three times the original distance.
5. **Connect the new vertices** to form the enlarged triangle.

### Example:
If one of the vertices of the triangle is 2 units away from the blue dot, the new position of that vertex will be 6 units away in the same direction.

Would you like a more detailed explanation, or do you have any questions on this?

Here are 5 related questions to expand your understanding:
1. What happens when the scale factor is less than 1?
2. How would the process differ if the center of enlargement were inside the triangle?
3. Can you describe how the area of the triangle changes with the enlargement?
4. How would you reflect the triangle after enlarging it?
5. What is the mathematical relationship between scale factor and the perimeter of the triangle?

**Tip:** When enlarging a shape, make sure the direction from the center of enlargement to each vertex is preserved!

Enlarge the triangle by scale factor 3 using the blue dot as the center of enlargement.

Learn how to enlarge a triangle by a scale factor of 3 using a given center of enlargement. This step-by-step solution explains how to measure distances from the center and plot the new vertices of the triangle. Suitable for Grades 7-9 students studying transformations in geometry.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation