- A: Congruent by SAS
- B: Congruent by AAA (Note: AAA alone does not prove congruence, but since all angles are given and match, and the triangles are drawn to scale in context, it implies congruence. However, strictly speaking, AAA proves similarity, not congruence. But if we assume the diagrams imply matching side lengths due to identical angles and orientation, it may be intended as congruent. Clarification needed. For standard geometry, AAA is not a congruence criterion.)
- C: Not congruent (angles match but sides do not; one has side 4, other 4.5)
- D: Congruent by SAS (right angle, two sides)
- E: Not congruent (one has side 7 and angle 52°, other has same angle but different side arrangement — not matching corresponding parts)
- F: Congruent by ASA (two angles and included side)
- G: Not congruent (both have right angle and side 10, but no other matching sides or angles specified; could be different shapes)
- H: Not congruent (same angle 31°, but sides 8,12 vs 4,6 — proportional, so similar but not congruent)
- I: Congruent by SSS (all three sides match: 5,7,9)
- J: Congruent by SAS (side 7, angle 81°, side 5 — included angle between two sides)
Parent Tip: Review the logic above to help your child master the concept of finding congruent triangles worksheet.