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Question

A square is divided into two parts by one of its diagonal. The two triangles formed are _____.

A
congruent
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B
not congruent
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C
obtuse angled
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D
insufficient data
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Solution

The correct option is A congruent

When a square ABCD is divided by its diagonals, ADC and ABC are formed.

In ADC and ABC
CA = CA .... (Common side)
AD = AB .... (Sides of the square)
DC = BC ..... (Sides of the square)
ADC ABC
by SSS criterion for congruency of triangles.

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