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Mathematics 20 Online
DBOY:

PLEASE SEE ATTACHED FILE

Shadow:

These figures are 'similar' which means that you can compare the sides in order to find the common factor that scales one to another.

Shadow:

So if I have two squares, A and B, where side of A is 2 and side of B is 4, I can do 2x = 4, x = 2, where I can multiply the sides of square A by 2 to get the equivalent sides of square B

Shadow:

2 being the common factor which I can use to scale the smaller square to its brother 'similar' square

Shadow:

I would highly recommend drawing the shapes and labeling them to solve this.

Shadow:

Does this make sense?

Shadow:

So if you flip the smaller trapezoid over, you can see that AB is similar to XW, which means you can do 6x = 12, to find the common factor.

Shadow:

Then you're just using that common factor for the next few problems and it's easy sailing from there.

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