Question

If shape 1 is similar to shape Il and shape II is similar to shape III, what does that mean for shape I and shape III?

Answer 1

I believe:

This means that Shape I and Shape III are also similar.

Since:

For the sake of simplicity, let's say that for every pair of similar shapes, we write them with an equal sign (=). Shape I and Shape II are similar. This means Shape I = Shape II. Shape II is similar to Shape III. This can be written as Shape II = Shape III.

The key here is Shape II. Shape II is similar to both Shape I and Shape III. Since both Shapes I & III are similar to II, they must also be similar to each other. Through this logic, we can conclude that Shape I and Shape III are similar to each other.

Bonus:

I wrote a simple equation to show the relationship between Shape I, Shape II, and Shape III.

Shape I = Shape II = Shape III

This just further proves the point that Shapes I & III are similar.

Answer 2

Explanation:

They are also similar.

Both have 4 right angles. Both have 2 sets of parallel lines. Both have 4 equal sides.

But I think you are supposed to answer if figure 1 is similar to figure 2 and figure two is similar to figure 3 then by the transitive property, figure 1 is similar to figure 3.