Congruent Triangles - Worksheet 10 - 10th Grade
HardProve triangle congruence using congruence criteria (Hard)
23 problems · 25-30 minutes · Skills: triangles, congruence, proofs
About This Worksheet
This hard-level worksheet contains 23 problems designed for 10th Grade students practicing congruent triangles. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.
Triangle congruence is the engine behind a huge portion of geometric proof. From proving that diagonals of a parallelogram bisect each other to establishing properties of isosceles triangles, CPCTC and the congruence criteria are used repeatedly throughout the course and in subsequent math courses.
- Apply SSS, SAS, ASA, AAS, and HL congruence criteria to determine if triangles are congruent
- Write two-column proofs to prove triangle congruence
- Use CPCTC to conclude that corresponding parts of congruent triangles are congruent
- Write correct congruence statements matching corresponding vertices in order
- Identify which congruence criterion applies given marked diagrams or listed information
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 congruent triangles - worksheet 10 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, congruence, proofs. 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 23 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.