With the information given in the diagram, which statement is NOT true?
Rigid motions can be used to match the triangles up exactly.
The triangles can be proved by the SAS theorem to be congruent.
The triangles can be proved by the AAS theorem to be congruent.
The triangles can be proved by the SSS theorem to be congruent.
With the information given in the diagram, which statement is NOT true
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To determine which statement is NOT true regarding the congruence of triangles based on the given options, we can analyze them one by one, even without seeing the diagram.
1. Rigid motions can be used to match the triangles up exactly. – This statement is generally true if the triangles are congruent.
2. The triangles can be proved by the SAS theorem to be congruent. – If the two sides and the included angle of one triangle match the corresponding sides and angle of another triangle, then this statement is true.
3. The triangles can be proved by the AAS theorem to be congruent. – If two angles and a non-included side of one triangle match two angles and the corresponding non-included side of another triangle, then this is true.
4. The triangles can be proved by the SSS theorem to be congruent. – If all three sides of one triangle equal the three sides of another triangle, then this statement is true.
To determine which is NOT true, you would need to see the conditions given in the diagram. However, if any of the specific conditions for SAS, AAS, or SSS are not met, then that method cannot be used to prove congruence.
In a common instance, if the triangle does not have sufficient matching elements for SAS, AAS, or SSS, then the statement regarding that method would be the one that is NOT true.
If one of the congruence