Robot symetry character

I had high hopes for this one but it didn't seem to hit the mark with the publishers who'd asked for ideas on spec. Bastards. Imagine these with suitable artwork to illustrate...

1. I am SYM-R-3

King of symmetry

I am straight like a ruler

And shiny like a mirror

Question One is ace

Cut in half these shapes

Findthe line down the middle

And we will solve the riddle

2. Half this square has gone

Please don’t get me wrong

We can put it back

Check the squares at the back

So if you can find

The straight dotted line

That is where I reside

With my mirrored side

(It is two across

And four down and then

Take the two back to

The dotted line again)

3. On the planet Klong

Things are strange and wrong

Naughty robot A-SYM-3

Has messed up the gravity

So these three whole shapes

Have been torn in half

Can we use our sight

Can we make them right?

Then on planet Klong

We will sing a happy song

4. The mayor of Klongtown

Tried to cut a tree down

But, oh no! Instead

He cut in two pieces his shed

We can draw it back

With our magic intact

But be sure to include

That tricky sloping roof!

(Remember to use the distance

Of the points from the line

Because that makes the difference

Every time!)

5. Oh no, not again!

Just as it was on the mend

The naughty A-SYM-3

Has once more broken gravity!

These shapes are pretty spiky

So use the line of symmetry

To check which of their lines

Are mirrored on the other side

(Remember you can use me

As a mirror, to see!

So let’s get to it,

One... two...three...)

6. I am SYM-R-3

King of symmetry

But my blocks of cheese

Are too big for me.

So what I need you to do

Is divide each into two

So I can freeze one half

In the land of Skaddleskarf

Where there’s ice and snow

And the polar robots go

In the planet of Klong

Where sometimes gravity goes wrong

And where we need your help

To divide things up for ourselves

I am SYM-R-3

Will you please help me?