If the measure of sides of quadrilaterals are given as AB -4 cm - CD -5 cm- and angles are given as - ABC -75- - BCD -45- and - CDA -135- Can you construct a unique quadrilateral ABCD-A- YesB- NoC- With measure of - DAB- YesD- With measure of BC- Yes

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If the measur...

Question

If the measure of sides of quadrilaterals are given as AB = 4 cm, CD = 5 cm, and angles are given as ∠ABC = $75^{\circ}$ , ∠BCD = $45^{\circ}$ and ∠CDA = $135^{\circ}$ . Can you construct a unique quadrilateral ABCD?

Yes

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With measure of DAB, Yes

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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 (AB and CD are not 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.

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Similar questions

Q. The measurements of a quadrilateral are given as

A B = 4 c m, C D = 5 c m, ∠ A B C = 75^{\circ}, ∠ B C D = 45^{\circ}

and

∠ C D A = 135^{\circ}

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Can you constant a unique quadrilateral ABCD?

Q. The measurements of a quadrilateral are given as AB

= 4 c m

, CD

= 5 c m

∠

ABC

= 75^{\circ}

∠

BCD

= 45^{\circ}

and

∠

CDA

= 135^{\circ}

. Can you construct a unique quadrilateral ABCD?

If the measure of sides of quadrilaterals are given as AB = 4cm, CD = 5 cm, and angles are given as ∠ABC= $75^{\circ}$ , ∠BCD= $45^{\circ}$ and ∠CDA= $135^{\circ}$ . Can you construct a unique quadrilateral ABCD?

If the measure of the 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?

If measure of sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as $∠ A B C = 75^{\circ}, ∠ B C D = 45^{\circ} a n d ∠ C D A = 135^{\circ}$ , then what additional information is required to construct a quadrilateral ABCD?

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If the measure of sides of quadrilaterals are given as AB = 4 cm, CD = 5 cm, and angles are given as ∠ABC = 75∘, ∠BCD = 45∘ and ∠CDA = 135∘. Can you construct a unique quadrilateral ABCD?

If the measure of sides of quadrilaterals are given as AB = 4 cm, CD = 5 cm, and angles are given as ∠ABC = $75^{\circ}$ , ∠BCD = $45^{\circ}$ and ∠CDA = $135^{\circ}$ . Can you construct a unique quadrilateral ABCD?