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.