Question

Is figure B a scale copy of figure A

Answer 1

Figure
`B` is not a scale copy of Figure
`A`

Explanation:

If Figure
`B` is scale copy of Figure
`A`, then there must be a scalar quantity for all the sides of Figure
`A` to get to all corresponding sides of
`B`. This means that there is a number that if we multiply it to a side of Figure
`A`, it equals to a corresponding side of Figure
`B` and this number has to be the same for all the corresponding sides of Figure
`A` and
`B`.

To get this number, the scalar quantity, we just divide the length of a side of Figure
`B` by the length of the corresponding side of Figure
`A`.

We can see that the side with length
`3` in Figure
`A` corresponds to the side with length
`9` in Figure
`B`.

Let
`s` be that scalar quantity. Solving for
`s`.

`s = (9)/(3) \\ s = 3`

Now we have the scalar quantity
`3`. Let's just see if that's consistent with the other corresponding sides.

The other side with length
`3` in Figure
`A` corresponds to the other side in Figure
`B` with length
`9`. That's consistent.

The other two sides of Figure
`A` have the same length,
`2.2`. So as their corresponding sides in Figure
`B` have the same length,
`7.3`.

`s = (7.3)/(2.2) \\ s = 3.3\overline{18}`

Since it's not consistent Figure
`B` is not a scale copy of Figure
`A`.