Which property of a rectangle do we use to construct a rectangle ABCD with each diagonal AC -6-2 cm-A- Each angle of a rectangle is 90-B- Opposite sides are equal-C- Diagonals bisect each other-D- Both A and B

The correct option is D Both (A) and (B)(1) Draw AB=4.8 cm (2) At B construct ABX=90^∘ (3) With A as centre and radius=6.2cm. Cut BX at C. (4) Taking C as cent ...

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Standard VIII

Mathematics

Construction of a Rectangle When One Diagonal and the Angle between the Two Diagonal Are Given.

Which propert...

Question

Which property of a rectangle do we use to construct a rectangle ABCD with each diagonal AC= 6.2cm.

Each angle of a rectangle is

90^{\circ}

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Opposite sides are equal.

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Both (A) and (B)

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Diagonals bisect each other.

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Solution

The correct option is C Both (A) and (B)
(1) Draw AB=4.8 cm
(2) At B construct $A B X = 90^{\circ}$
(3) With A as centre and radius=6.2cm. Cut BX at C.
(4) Taking C as centre and radius=4.8cm. Cut an arc.
(5) With A as centre and radius=BC. Cut the previous arc at D.
(6) Join AD and CD.

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Which property of a rectangle do we use to construct a rectangle ABCD with each diagonal AC= 6.2cm.

The correct option is C Both (A) and (B)(1) Draw AB=4.8 cm (2) At B construct ABX=90∘ (3) With A as centre and radius=6.2cm. Cut BX at C. (4) Taking C as centre and radius=4.8cm. Cut an arc. (5) With A as centre and radius=BC. Cut the previous arc at D. (6) Join AD and CD.

The correct option is C Both (A) and (B)
(1) Draw AB=4.8 cm
(2) At B construct $A B X = 90^{\circ}$
(3) With A as centre and radius=6.2cm. Cut BX at C.
(4) Taking C as centre and radius=4.8cm. Cut an arc.
(5) With A as centre and radius=BC. Cut the previous arc at D.
(6) Join AD and CD.