Similar Triangles - Worksheet 4 - 10th Grade
MediumProve triangle similarity using AA, SSS, and SAS (Medium)
18 problems · 25-30 minutes · Skills: triangles, similarity, proportions
About This Worksheet
This medium-level worksheet contains 18 problems designed for 10th Grade students practicing similar triangles. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Similarity is the gateway to trigonometry. Understanding that similar triangles have proportional sides is the conceptual foundation for defining sine, cosine, and tangent ratios — and it explains why those ratios depend only on the angle, not the size of the triangle.
- Apply AA, SSS, and SAS similarity criteria to determine if triangles are similar
- Set up and solve proportions to find missing side lengths in similar triangles
- Apply the Side-Splitter Theorem and Triangle Proportionality Theorem
- Write similarity statements listing corresponding vertices in the correct order
- Use indirect measurement with similar triangles to find heights and distances
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this similar triangles - worksheet 4 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this triangles worksheet cover?
This worksheet focuses on triangles, similarity, proportions. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 18 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.