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Question

# A rectangular crop field is divided into two parts by cutting it diagonally. Are the two parts congruent?

## The correct answer is: △ABD ⩭ △DCA by SSS congruence rule

### SOLUTION:

HINT: Use the properties of a rectangle.

Complete step by step solution:

From the figure,

In △ABD and △DCA, we have

AB = DC (since it is a rectangle, opposite sides are equal)

AC = DB (since it is a rectangle, opposite sides are equal)

AD = AD (common side)

Hence △ABD ⩭ △DCA by SSS congruence rule.

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