Prove ASA congruency rule.
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If two angle in one triangle are congruent to two angles of a second triangle,
and also if the included sides are congruent, then the triangles are congruent.TO each other
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ASA congruence rule : Two triangles are congruent if two angles and the included side of one triangle are equal to tow angles of and the included side of another triangle.
Proving ASA congruence rule :
[ One attachment given, see for hint ]
We are given two triangles ABC and DEF,
In which :
- ∠B = ∠E
- ∠C = ∠F
- BC = EF
We have to prove that :
∆ABC ≅ ∆ DEF
Proving :
Let AB = BE
What we observe? we observe that :
AB = DE ........... ( assumed )
∠B = ∠E ........... ( Given )
BC = EF ........... ( Given )
Now,
We observed that two sides and one angle is equal to two sides and one angle of another triangle.
So,
Attachments:
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