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PLEASE HELP ME FAST
Determine the triangles can be proved congruent, , by SAS, ASA, AAS, SSS OR HL Write your answer on the line provided If not congruent write "not congruent"

PLEASE HELP ME FAST Determine the triangles can be proved congruent by SAS ASA AAS SSS OR HL Write your answer on the line provided If not congruent write not c class=

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1: AAS 2: SAS 3: AAS 4: SAS 5: not congruent 6: SSS
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The set of triangles given can be proven to be congruent or not as follows:

1. Congruent by the AAS Congruence Theorem

2. congruent by the SSS Congruence Theorem

3. Not congruent

4. Congruent by the HL Congruence Theorem

5. Congruent by the SAS Congruence Theorem

6. Congruent by the ASA Congruence Theorem

1. In the triangles in figure 1, a non-included side and two angles in one triangle are congruent to two angles and corresponding non-included side in the other triangle.

  • Therefore, they are congruent based on the AAS Congruence Theorem.

2. In the triangles in figure 2, three sides in one triangle are congruent to three sides in the other triangle.

  • Therefore, both triangles in figure 2 are congruent by the SSS Congruence Theorem.

3. In the triangles in figure 3, the two triangles do not contain enough information to prove they are congruent.

  • Therefore, the triangles are not congruent.

4. In the two right triangles in figure 4, the hypotenuse and one leg, in one right triangle are congruent to the hypotenuse and one leg in the other right triangle.

  • Therefore, the triangles are congruent by the HL Congruence Theorem.

5. In the triangles in figure 5, an included angle and two sides in one triangle are congruent to a corresponding included angle and two sides in the other.

  • Therefore, both triangles in figure 5 are congruent by the SAS Congruence Theorem.

6. In the triangles in figure 6, an included side and two angles  in one triangle are congruent to two angles and a corresponding included side in the other triangle.

  • Therefore, both triangles in figure 6 are congruent by the ASA Congruence Theorem.

In summary, the set of triangles given can be proven to be congruent or not as follows:

1. Congruent by the AAS Congruence Theorem

2. congruent by the SSS Congruence Theorem

3. Not congruent

4. Congruent by the HL Congruence Theorem

5. Congruent by the SAS Congruence Theorem

6. Congruent by the ASA Congruence Theorem

Learn more here:

https://brainly.com/question/9351351

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