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Construction of Rhombus

Using ruler a...

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Using ruler and compass only construct a parallelogram of AB 6 cm AD 3 cm angle DAB is 45. If the bisector of angle DAB meets meets DC at P. Prove that angle APB is a right angle.

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Q. Using ruler and compasses only, construct a parallelogram ABCD using the following data:
AB =

6

3

∠ D A B = 45^{\circ}

. If the bisector of

∠ D A B

meets DC at P, prove that

∠ A P B

is a right angle.

Q. Construct a parallelogram ABCD, in which AB= 6cm , AD= 3cm and ∠DAB =

60^{\circ}

.
Draw a bisector to angle DAB, let it meet DC at point P. Measure angle APB.

Q. Using ruler and compasses only, construct a parallelogram ABCD, in which : AB = 6 cm, AD = 3 cm and

∠

^{\circ}

. In the same figure draw the bisector of angle DAB and let it meet DC at point P. Measure angle APB.

Q. In parallelogram

A B C D

, the bisector of angle

A

D C

P

A B = 2 A D

.
Prove that :
i)

B P

B

A P B = 90^{o}

Q. In parallelogram ABCD, the bisector of angle A meets DC in P and

A B = 2 A D .

∠ A P B

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