Which property of multiplication is shown below?

if x = a + bi and y = c + di, x × y = y × x.
commutative property
identity property
distributive property
associative property

The option A. is correct

Step-by-step explanation:

x = a + bi and y = c + di

Now, x × y = (a + bi) × (c + di)

                 = ac + adi + bci + bdi²

                 = ac - bd + i(ad + bc)

Now, y × x = (c+ di) × (a + bi)

                 = ac + bci + adi + bdi²

                 = ac - bd + i(ad + bc)

Therefore,  x × y = y × x

And if ab = ba then the property is known as commutative property.

Hence, The option A. is correct

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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