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Question

If the measure of the sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as ABC = 75, BCD = 35 and CDA = 135, can you construct a quadrilateral ABCD?


A

Yes

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B

No

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C

With the measure of DAB, Yes

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D

With the measure of BC, Yes

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Solution

The correct option is D

With the measure of BC, Yes


  • We cannot draw a unique quadrilateral with all the given measurements. This is because we need the measurement of two adjacent sides and 3 angles to construct the quadrilateral ABCD.
  • But we are given opposite sides AB and CD. So, with the measure of BC, we will have two known adjacent sides. Hence, we will be able to construct the quadrilateral ABCD.

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