Question

which ones do not prove that two triangles are congruent
sss
asa
ssa
hl
aas
aaa
asa

Explanation:

• SSS (Side - Side - Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
• ASA (Angle - Side - Angle): If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
• SSA (Side - Side - Angle): This is not a valid congruence criterion in general. For non - right - angled triangles, two triangles with two sides and a non - included angle equal may not be congruent.
• HL (Hypotenuse - Leg): For right - angled triangles, if the hypotenuse and a leg of one right - angled triangle are equal to the hypotenuse and a leg of another right - angled triangle, the triangles are congruent.
• AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, the triangles are congruent.
• AAA (Angle - Angle - Angle): This only proves similarity (same shape) not congruence (same shape and size).

Answer:

SSA, AAA