https://file.aiquickdraw.com/mathbot/file/1726013228190msrnoton.jpg

The two triangles in the image are similar (i.e., their corresponding angles are equal, and their corresponding sides are proportional). To find the scale factor from Figure \( A \) to Figure \( B \), we compare the lengths of corresponding sides.

From the image:
- The corresponding sides of Figure \( A \) and Figure \( B \) are \( 15 \) and \( 5 \) respectively.

The scale factor can be calculated as:
\[
\text{Scale factor} = \frac{\text{Side length of Figure A}}{\text{Side length of Figure B}} = \frac{15}{5} = 3
\]

Thus, the scale factor from Figure \( A \) to Figure \( B \) is **3**.

Do you want more details or have any questions? Here are five related questions you might explore:

1. What would the scale factor be if the transformation was from Figure \( B \) to Figure \( A \)?
2. How do you verify that two triangles are similar?
3. What effect does scaling have on the area of a figure?
4. Can you find the ratio of the perimeters of Figure \( A \) and Figure \( B \)?
5. How does the concept of scale factor apply in real-world applications like maps or models?

**Tip:** When two shapes are similar, their corresponding angles are congruent, and the ratios of their corresponding sides are equal!

What is the scale factor from Figure A to Figure B?

Learn how to calculate the scale factor between two similar triangles, Figure A and Figure B. This problem involves key geometric concepts like proportions and similarity of figures. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation