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प्रश्न
Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
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उत्तर
In the given figure BD bisect AC
In ΔAOB and ΔOCD
OA = OC ...(Given)
∠AOB = ∠DOC ...(vertically opposite angles)
∠B = ∠D ...(Given)
By ASA congruency
ΔAOB ≅ ΔOCD
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संबंधित प्रश्न
By applying the ASA congruence rule, it is to be established that ∆ABC ≅ ∆QRP and it is given that BC = RP. What additional information is needed to establish the congruence?
In Fig, can you use the ASA congruence rule and conclude that ∆AOC ≅ ∆BOD?

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by the ASA congruence rule. In the case of congruence, write it in symbolic form.
∆DEF, ∠D = 60º, ∠F = 80º, DF = 6 cm.
∆PQR, ∠Q = 60º, ∠R = 80º, QP = 6 cm.
ΔABC and ΔDEF are two triangles in which AB = DF, ∠ACB = 70°, ∠ABC = 60°, ∠DEF = 70° and ∠EDF = 60°. Prove that the triangles are congruent
In the figure, ∠TMA ≡∠IAM and ∠TAM ≡ ∠IMA. P is the midpoint of MI and N is the midpoint of AI. Prove that ΔPIN ~ ΔATM
State whether the two triangles are congruent or not. Justify your answer
For the given pair of triangles state the criterion that can be used to determine the congruency?
Two triangles are congruent, if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the ______.
In the following figure, Δ ______ ≅ ΔPQR.

AAS congruence criterion is same as ASA congruence criterion.
