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2 congruence? (check all that apply) aas aaa hl ssa asa sss

Question

2 congruence? (check all that apply) aas aaa hl ssa asa sss

Explanation:

Brief Explanations
  • AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle, the triangles are congruent.
  • HL (Hypotenuse - Leg): For right - angled triangles, if the hypotenuse and one leg of one right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, the triangles are congruent.
  • ASA (Angle - Side - Angle): If two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle, the triangles are congruent.
  • SSS (Side - Side - Side): If the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
  • AAA (Angle - Angle - Angle): Only shows similarity (same shape) but not congruence (same shape and size).
  • SSA (Side - Side - Angle): Does not guarantee congruence in general (except for the HL case in right - angled triangles).

Answer:

A. AAS, C. HL, E. ASA, F. SSS