Question

if angle ABC,angle ABC and angle PQR,AB=QP,angleB=angleP,BC=PR, then what is the cong.criteria​

Answer 1

Answer:

By S.A.S congruence criteria

Explanation:

If two sides and the included angle of one triangle are equal to the two sides and the inclined angle of the other triangle, the triangles are congruent by side angle side congruent rule.

Side angle side is also abbreviated as S.A.S.

➨ Triangles will be congruent only when the equal angles are the included angles.

In ∆ABC and ∆PQR,

➟ AB = QP

➟ ∠B = ∠P

➟ BC = PR

∆ABC ≅ ∆PQR [ By S.A.S ]

More conditions for congruency of triangles:

• If two angles and the included side of one triangle are equal to the two angles and the included side of the other triangle, the triangle are congruent.
• Abbreviated as A.S.A

• If the two angles and one side of one triangle are equal to the two angles and the corresponding side of the other triangle, the triangles are congruent.
• Abbreviated as A.A.S

• If three sides of one triangle are equal to three sides of other triangle, each to each, the triangles are congruent.
• Abbreviated as S.S.S

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