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Standard VII
Mathematics
ASA Criteria for Congruency of Triangles
Two triangles...
Question

Two triangles are formed on the same base and equal angles at the ends of the base. The triangles are congruent by _____ criterion.

A
ASA
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B
RHS
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C
AAA
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D
SSS
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Solution

The correct option is A ASA
Since the base(one side) is common and the angles at the ends are also same, the figure will be as shown below.

The two triangles formed have,
∠BAC=∠BAD .....(given)
AB = AB ......(common side)
∠ABC=∠ABD ..... (given)

Therefore, by ASA criterion for congruency of triangles,
△CBA≅△DBA.

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