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Drag and drop the congruence rules that would result in triangle ABC being congruent to or not congruent to triangle A'B'C'. Choose from the options below:

A.Side-Side-Side (SSS).
B.Side-Angle-Side (SAS).
C.Angle-Side-Angle (ASA).
D.Angle-Angle-Side (AAS).
E.Hypotenuse-Leg (HL).

User Cabad
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1 Answer

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Final answer:

Triangle ABC can be congruent to or not congruent to triangle A'B'C' based on different congruence rules.

Step-by-step explanation:

Triangle ABC can be congruent to or not congruent to triangle A'B'C' based on different congruence rules. Here are the rules:

  1. Side-Side-Side (SSS): If all three sides of triangle ABC are congruent to the corresponding sides of triangle A'B'C', then the triangles are congruent.
  2. Side-Angle-Side (SAS): If two sides and the included angle of triangle ABC are congruent to the corresponding parts of triangle A'B'C', then the triangles are congruent.
  3. Angle-Side-Angle (ASA): If two angles and the included side of triangle ABC are congruent to the corresponding parts of triangle A'B'C', then the triangles are congruent.
  4. Angle-Angle-Side (AAS): If two angles and a non-included side of triangle ABC are congruent to the corresponding parts of triangle A'B'C', then the triangles are congruent.
  5. Hypotenuse-Leg (HL): If the hypotenuse and one leg of a right triangle ABC are congruent to the corresponding parts of triangle A'B'C', then the triangles are congruent.
User Halim Bezek
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