If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of quadrilateral ABCD, can you construct the quadrilateral?

No, it is impossible

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Yes, definitely

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With a measure of one angle too, yes

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with a measure of two angles too, yes

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Solution

The correct option is B
Yes, definitely

If we have 3 sides and 2 diagonals given to us, we can construct the quadrilateral. For e.g. If suppose AB, AC, BD, BC, and CD are given. We have all the measures of $Δ A B C$ and $Δ B D C$ we can construct $Δ A B C$ and $Δ B D C$ . Now we can join points D and point A. Thus, we can construct the given quadrilateral.

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Similar questions

If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of the quadrilateral ABCD, can you construct it?

If measure of sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as ∠ ABC = $75^{\circ}$ , ∠ BCD = $35^{\circ}$ and ∠ CDA = $135^{\circ}$ , can you construct a quadrilateral ABCD?

Q. Construction of quadrilaterals when three sides and two diagonals are given:
2. Construct a quadrilateral ABCD in which AB = 4 cm BC = 3.8 cm, AD = 3 cm, diagonal AC = 5 cm and diagonal BD = 4.6 cm.

If the measurement of sides of a quadrilateral are given as AB = 4cm, CD = 5 cm, and angles are given as $∠ A B C =$ $75^{\circ}$ , $∠ B C D =$ $45^{\circ}$ and $∠ C D A =$ $135^{\circ}$ , can you construct a unique quadrilateral ABCD?

If we have the measure of 4 possible sides of a quadrilateral and measure of one of its diagonals, we can construct a unique quadrilateral.

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