Question

Are the polygons similar? If they are, write a similarity statement and give the scale factor.

Answer 1

The polygons are not similar.

Explanation:

In order to have two polygons that are similar you have to have a scale ratio, that works for all of the sides of a polygon and that can scale the sides of the polygon into the other scalated polygon, in this case the first correspondance is achieve by having similar angles in the polygon, to find the scale we have to divide the correspondant sides of both polygons:

Scale height:

`(10.4)/(3.75)=2.7`

Scale width:

`(4)/(1.7)=2.3}`

Since this scale is not equal in both sides, the polygons are not similar.

Answer 2

The polygons are not similar..

Explanation:

We have given the two polygons which are parallelogram with the opposite sides 10.4 units, 3.74 units, 4 units and 1.7 units

For the polygons to be similar, ratios of both the polygons must be equal.

Lets check whether the two polygons are equal or not.

10.4/3.74 = 2.78

4/1.7 = 2.35

Therefore it is proved that both the polygons are not similar because both these ratios are not equal....