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Why SSA and AAA Congruency Rules Are Not Valid?

"If two sides...

Question

"If two sides and an angle of one triangle are equal to two sides and an angle of another triangle then the two triangles must be congruent."

Is the statement true? Why?

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Solution

No, the statement is not true because the two triangles are congruent only by SAS congruence condition but the statement contains ASS or SSA condition as well which are not any condition for congruence of triangles.

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Similar questions

Q. "If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent". Is the statement true? Why?

Q. Question 3
‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, than the two triangles must be congruent’. Is the statement true? Why?

Q. If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent. Is the statement true?
If True enter 1 else if False enter 0.

Q. Question 4
‘If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent; Is the statement true? Why?

State true or false:

If two sides and an angle of a triangle are respectively equal to two sides and an angle of another triangle,then the two triangles are always congruent.

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Why SSA and AAA Congruency Rules Are Not Valid?

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