Lynn must decide if two triangles are similar. Which of the following represents the minimum amount of information that must be given for each triangle in order for her to make a decision?
A.One angle measure and one side length
B.Three angle measures
C.Two angle measures
D.Two side lengths

To determine whether two triangles are similar, Lynn needs to establish if their corresponding angles are equal or if their corresponding sides are proportional. The correct answer is **C. Two angle measures**. 

Here's why:

- **Two angle measures (C)**: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar by the **AA (Angle-Angle) Similarity Postulate**. Once two angles are equal, the third must be equal too, as the sum of angles in a triangle is always 180°.

### Why the others are incorrect:
- **A. One angle measure and one side length**: This is insufficient to conclude similarity. Knowing just one angle and one side doesn't give enough information about the shape or proportionality of the triangles.
  
- **B. Three angle measures**: While knowing all three angles guarantees similarity, this is more information than necessary. Two angle measures are enough, since the third is automatically determined.
  
- **D. Two side lengths**: This is also insufficient. Without knowing an angle or a third side, it's impossible to determine if the triangles are similar, as you need proportionality between all sides or angles to confirm similarity.

Would you like more details on triangle similarity conditions? 

### Five related questions:
1. What is the **AA Similarity Postulate**?
2. How does the **SAS Similarity Theorem** work for triangles?
3. Can triangles be similar if only their sides are proportional (SSS Similarity)?
4. What is the difference between **congruent** and **similar** triangles?
5. How can you use trigonometry to check for triangle similarity?

### Tip:
Remember that in geometry, angle measurements play a crucial role in determining similarity, while side lengths alone often require more information to confirm proportional relationships.

Lynn must decide if two triangles are similar. Which of the following represents the minimum amount of information that must be given for each triangle in order for her to make a decision? A. One angle measure and one side length B. Three angle measures C. Two angle measures D. Two side lengths

Understand how to determine if two triangles are similar by using two angle measures, according to the AA (Angle-Angle) Similarity Postulate. Explore key geometry concepts and learn why two angles are enough for establishing triangle similarity. Suitable for students in Grades 8-10.

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