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What are the five ways to prove triangles congruent?Question 7Select one:a.SSS, SSA, HL, AAS, SASb.SSS, ASA, AAS, SAS, HLc.Equilateral Triangled.Isosceles Triangle

Question

What are the five ways to prove triangles congruent?Question 7Select one:a.SSS, SSA, HL, AAS, SASb.SSS, ASA, AAS, SAS, HLc.Equilateral Triangled.Isosceles Triangle

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Solution

The correct answer is b. SSS, ASA, AAS, SAS, HL. These are the five ways to prove triangles congruent:

  1. SSS (Side-Side-Side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

  2. ASA (Angle-Side-Angle): If two pairs of angles of two triangles are equal and the included sides are equal, then the triangles are congruent.

  3. AAS (Angle-Angle-Side): If two pairs of angles of two triangles are equal and a non-included side is equal, then the triangles are congruent.

  4. SAS (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.

  5. HL (Hypotenuse-Leg): In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

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