https://file.aiquickdraw.com/mathbot/file/17295233869813uhl7i84.jpg

In this image, you are completing a flow proof related to the **Converse of the Alternate Exterior Angles Theorem**. Let's break down the provided steps:

1. The problem starts with the given information: **∠1 ≅ ∠2**.
2. You then apply the **Vertical Angles Theorem** to conclude that **∠2 ≅ ∠3**.
3. Now, the next step is to show **∠1 ≅ ∠3**, and you are asked to select the property or theorem that justifies this step.

Since **∠1 ≅ ∠2** and **∠2 ≅ ∠3**, by the **Transitive Property** of congruence, you can conclude that **∠1 ≅ ∠3**.

Thus, the correct answer for the dropdown is **Transitive Property**.

Would you like a detailed explanation on the **Transitive Property** or how it applies here? Feel free to ask!

### Follow-up questions:
1. What is the Converse of the Alternate Exterior Angles Theorem?
2. How does the Transitive Property work in geometry?
3. What are vertical angles and why are they always congruent?
4. Can you explain the difference between the Alternate Exterior Angles Theorem and its converse?
5. What are the other properties (e.g., Subtraction Property) in the dropdown, and when would they apply?

#### Tip: 
When working through geometric proofs, make sure to clearly label each step and apply theorems and properties in a logical sequence to support your conclusion!

Complete the flow proof of the Converse of the Alternate Exterior Angles Theorem, showing ∠1 ≅ ∠3 using given information and properties.

Learn how to complete a flow proof for the Converse of the Alternate Exterior Angles Theorem, involving angle congruence using the Vertical Angles Theorem and the Transitive Property. Suitable for students in Grades 9-10.

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