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Question

If the measurement of sides of a quadrilateral are given as AB = 4cm, CD = 5 cm, and angles are given as ABC= 75, BCD= 45 and CDA= 135, can you construct a unique quadrilateral ABCD?


A

Yes

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B

No

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C

With measure of DAB, Yes

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D

With measure of BC, Yes

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Solution

The correct option is D

With measure of BC, Yes


We can't draw a unique quadrilateral with all the measurements, which are given. This is because we need the measurement of two adjacent sides and 3 angles for the construction of a unique quadrilateral. But with BC, we will have 6 sets of measurements and two known adjacent sides. Hence, we will be able to construct a unique quadrilateral in this case.


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