I can see the image contains multiple triangle similarity problems with handwritten notes. I'll go through each one and explain the answers.

Problem 35: Triangle Similarity Statement

The problem asks which similarity statement correctly matches the given similar triangles.

• The correct answer is marked as B (△MLN ~ △PQO).
• The similarity is confirmed using angle-angle (AA) similarity, meaning two corresponding angles are congruent.

Problem 36: Are the triangles similar?

• The correct answer marked is C (Yes, similar by SAS).
• SAS (Side-Angle-Side) Similarity states that if two sides of one triangle are proportional to two sides of another triangle, and the included angle is congruent, the triangles are similar.
• The handwritten calculations verify that 27/36 = 36/48, which confirms proportionality.

Problem 37: Are the triangles similar?

• The correct answer is D (Yes, similar by SSS).
• SSS (Side-Side-Side) Similarity states that if all three pairs of corresponding sides are proportional, then the triangles are similar.
• The given side ratios confirm similarity.

Would you like more explanation or breakdowns? Here are five related questions you can explore:

1. How do you determine if triangles are similar using the AA criterion?
2. What is the difference between congruent triangles and similar triangles?
3. How do you find missing side lengths in similar triangles?
4. What are real-life applications of triangle similarity?
5. How does triangle similarity help in trigonometry?

Math Tip:

When proving similarity, always check for AA first, as it's the quickest method. If that doesn't work, try SAS or SSS for proportional sides.