Question

Polygon pqrs is a scaled copy of abcd. name the angel in the scaled copy that corresponds to angle abc.

Answer 1

The angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

We have,

As we can see the attached figure,

Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image and the image obtained is the scaled copy.

i.e.,

Scale factor = $\frac{Change\ in\ size}{Original\ size}$

So,

There are two Polygons abcd and pqrs,

And,

Polygon pqrs is the scaled copy of Polygon abcd,

So,

That means both polygons are similar,

so,

Their corresponding angles will be same,

So

We can say that angle corresponds to angle abc is angle pqr.

Hence, we can say that the angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

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