Question

construct a triangle ABC and divide segment BC in equal 5 parts​

Answer 1

Answer:

Given- ABCD is a parallelogram with BD as diagonal.

∠ABC=60

O

ΔBD

′

C

′

has been drawn similar to ΔBDC by a scale factor

3

4

which is greater than 1 i.e D

′

lies on extended BD and C

′

lies on extended BC

To determine- whether A

′

BC

′

D

′

is a parallelogram or not.

Solution-

ABCD is a parallelogram. i.e AB∥DC ....(i)

Now ΔBDC and ΔBD

′

C

′

ared similar (by construction)

∴∠BDC=∠BD

′

C

′

But they are corresponding angles.

∴DC∥D

′

C

′

⇒D

′

C

′

∥AB or A

′

B, since a

′

lies on extended BA .....(from (i)).

A

′

D

′

∥BC

′

......(by construction)........(iii)

So, from (ii) and (iii),

A

′

BC

′

D

′

is a parallelogram.

May it help

If yes Pls follow