Determine whether the triangles are similar. If they are similar. write a similarity statement....

Question

ammarah · Answer

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ammarah · Answer

the squiggly line in the triangle is an angle...

ammarah · Answer

@tkhunny

tkhunny · Answer

Similarity requires proportionality.  What shall we compare?

48 > 27
16 > 9

Let's see if we get the same ratios.

48/16 = 3
27/9 = 3

Same ratios!

We also have an included congruent angle.  Are we "similar" yet?

ammarah · Answer

I got 1/3 for both and what is the similarity statement?

ammarah · Answer

@tkhunny

tkhunny · Answer

Sorry.  Server keeps kicking me off.

You've three Similarity Theorems.

Congruence: Angle-Angle -- This constrains the third angle.
Ratio: Side-Side-Side -- Only one way to build that.
Hybrid: Side-Angle-Side -- This is yours.