Construct the quadrilateral ABCD in which AB = 7cm, BC = 9 cm and $∠$ ABC = $135^{0}$ , given that AC is its only line of symmetry. Name the geometrical name of the quadrilateral.

Kite

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Trapezium

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Rhombus

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None of these

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Solution

The correct option is A
Kite

A) Draw a line segment AB = 7 cm and at B, make an angle $135^{0}$ and cut off BC = 9 cm

B) Join AC. After taking C as a centre and radius 9 cm, draw an arc.

C) A as a centre draws another arc of radius 7 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 = 7cm, BC = 9 cm and ∠ ABC = 1350, given that AC is its only line of symmetry. Name the geometrical name of the quadrilateral.

Construct the quadrilateral ABCD in which AB = 7cm, BC = 9 cm and $∠$ ABC = $135^{0}$ , given that AC is its only line of symmetry. Name the geometrical name of the quadrilateral.