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Selected Problems— 47 total Clear selection
1. #107 Angle Chasing with Two Isosceles Triangles
Grades 9-10Medium
1
×
2. #117 Mass Points With Three Intersecting Lines
Grades 8-10Medium
1
×
3. #118 Angle Bisector Theorem: Whole-Number Sides
Grade 10Short
1
×
4. #119 Angle Bisector Theorem: Fractional Sides
Grade 10Short
1
×
5. #120 Angle Bisector Theorem: Splitting a Known Side
Grade 10Short
1
×
6. #122 Kite Properties
Grades 7-9Long
1
×
7. #155 Perimeter of a Similar Isosceles Triangle
Grades 8-10Medium
1
×
8. #156 Isosceles Triangle Area From Base And Equal Side
Grades 8-10Long
1
×
9. #159 Segment Parallel to a Side of a Triangle
Grades 8-10Short
1
×
10. #323 Areas of Similar Triangles
Grades 8-10Medium
1
×
11. #363 Right Triangle Altitude
Grade 10Medium
1
×
12. #638 Trapezoid Diagonals and Similar Triangles
Grades 8-10Medium
1
×
13. #641 Similarity Chain Three Triangles
Grades 8-10Long
1
×
14. #648 Inradius of a Right Triangle
Grades 9-10Medium
1
×
15. #665 Area Scaling Similar Figures
Grades 8-10Long
1
×
16. #671 Angle Bisector Theorem
Grades 9-10Medium
1
×
17. #672 Altitude to the Hypotenuse
Grades 8-10Medium
1
×
18. #673 Altitude as a Geometric Mean
Grades 9-10Medium
1
×
19. #675 Leg as a Geometric Mean
Grades 9-10Medium
1
×
20. #698 Tree Height from Shadows
Grades 7-9Medium
1
×
21. #700 Flagpole Height from Shadows
Grades 7-9Medium
1
×
22. #718 Regular Hexagon Apothem
Grade 10Long
1
×
23. #722 Geometric Mean Altitude
Grade 10Medium
1
×
24. #726 Area Ratio Similar Triangles
Grades 8-10Short
1
×
25. #729 Rectangle Folded Diagonally
Grades 8-10Extended
1
×
26. #738 Angle Bisector Ratio
Grade 10Medium
1
×
27. #812 Spiral Similarity Shared Vertex
Grades 8-10Medium
1
×
28. #1063 Triangle Congruence Criteria
Grades 8-10Medium
1
×
29. #1064 CPCTC Applications
Grades 7-9Medium
1
×
30. #1065 Congruence in Quadrilaterals
Grades 8-10Medium
1
×
31. #1071 Triangle Midsegment Theorem
Grades 8-10Medium
1
×
32. #1075 Viviani's Theorem
Grades 8-10Medium
1
×
33. #1135 Triangle Inside Rectangle Intersecting Lines
Grades 8-10Medium
1
×
34. #1136 Side Ratio from the Areas Cut by a Parallel
Grades 9-10Medium
1
×
35. #1686 Kite Missing Angle
Grades 6-8Medium
1
×
36. #1739 Angle Bisector Whole Side
Grades 6-8Medium
1
×
37. #1815 Algebraic Triangle Midsegment
Grades 8-10Medium
1
×
38. #1816 Midsegment Small Triangle Area
Grades 8-10Short
1
×
39. #1817 Triangle Area From Midsegment Trapezoid
Grades 8-10Short
1
×
40. #1818 Coordinate Triangle Midsegment Length
Grades 8-10Medium
1
×
41. #1833 Similar Figures Missing Side
Grades 8-10Short
1
×
42. #1834 Similar Figures Perimeter Ratio
Grades 8-10Short
1
×
43. #1853 Congruent Triangle Perimeter
Grades 8-10Short
1
×
44. #1854 Congruent Triangle Missing Angle
Grades 8-10Short
1
×
45. #3006 Which Congruence or Similarity Criterion
Grades 9-12Medium
1
×
46. #3066 Height Where Two Crossing Wires Meet
Grades 9-12Extended
1
×
47. #3400 Congruence Criterion from Figure Marks
Grades 6-8Medium
1
×
Total Questions
Spread evenly over the 47 types above; fine-tune any row with − and +.