https://file.aiquickdraw.com/mathbot/file/1729853740030v2z41n6e.jpg

The problem is asking to identify which diagrams show an enlargement where the dotted line passes through the center of enlargement.

To solve this, we need to determine which diagrams depict an accurate enlargement with the following conditions:

1. The triangles must be similar (i.e., corresponding angles are equal, and corresponding sides are proportional).
2. The dotted line should pass through the center of enlargement, meaning the line should go from the smaller triangle to the larger triangle through a common point (the center of enlargement).

### Analysis of each diagram:
- **A**: The dotted line does **not** pass through both triangles' corresponding points. This is incorrect.
- **B**: The dotted line **does** pass through the corresponding vertices of both triangles. This is correct.
- **C**: The dotted line **does not** pass through both triangles' corresponding points. This is incorrect.
- **D**: The dotted line **does** pass through the corresponding vertices. This is correct.
- **E**: The dotted line **does not** pass through both triangles' corresponding points. This is incorrect.
- **F**: The dotted line **does** pass through the corresponding vertices. This is correct.

### Correct answers:
- **B, D, and F** are the correct diagrams where the dotted line passes through the center of enlargement.

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How can you find the scale factor of an enlargement?
2. What defines the center of enlargement in transformations?
3. How can you determine if two triangles are similar?
4. What is the difference between an enlargement and a rotation?
5. How do you calculate the area of an enlarged shape?

**Tip**: When checking for enlargements, always compare the vertices of the corresponding shapes and check if they align through a common point.

Select all the diagrams where the dotted line passes through the center of enlargement.

This problem requires identifying diagrams where a dotted line passes through the center of enlargement in similar triangles. Understand enlargement, scale factors, and triangle similarity with detailed explanations. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation