Construct the quadrilateral ABCD in which AB = 5cm, BC = 7 cm and $∠ A B C = 120^{0}$ , given that AC is its only line of symmetry. Name the quadrilateral.

Parallelogram

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Kite

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Rectangle

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None of these

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Solution

The correct option is B
Kite

A) Draw a line segment AB = 5cm and at B, make an angle $120^{0}$ and cut off BC = 7cm

B) Join AC. After taking C as a centre and radius 7cm, draw an arc.

C) A as a centre draws another arc of radius 5 cm which intersect the first arc at D

D) Join AD and DC.

ABCD is required quadrilateral which is “kite”.

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Construct the quadrilateral ABCD in which AB = 5cm, BC = 7 cm and∠ABC=1200, given that AC is its only line of symmetry. Name the quadrilateral.

Construct the quadrilateral ABCD in which AB = 5cm, BC = 7 cm and $∠ A B C = 120^{0}$ , given that AC is its only line of symmetry. Name the quadrilateral.