Can someone help me with the concept of this? We have a worksheet with like 45 questions and I have no clue how to do it. We have to say if it’s similar or not and then, how we know theyre similar, and a similarity statement

9514 1404 393

  make use of the ways similarity can be shown

Step-by-step explanation:

Similarity of triangles can be shown two (2) ways:

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In a worksheet like this, you may see several kinds of problems. The keys will be ...

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When two angles are given, as here, at least one of them in one triangle must match one in the other triangle.

Here, neither of the measures 35 and 96 matches either of the measures 36 and 95. These triangles cannot be similar.

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Further discussion on working these problems

If one of the numbers does match, then you need to find the third angle to see if it matches the remaining angle. If two numbers match, the triangles are similar by AA.

Even if you find all three angles match, you need to carefully check any similarity statement to make sure it lists the matching angles in the same order.

For example, suppose both sets of angles in these triangles were 94 and 37. ∆QRS lists these in the order 94° angle, 37° angle. Then the similarity statement would have to list the other triangle's vertices in the same order: ∆UVW. A typical problem might claim similarity to ∆VUW, just to see if you're paying attention to detail. That claim would be false.

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For comparing side lengths, it can work well to compare them smallest-to-largest, or in some other order you find easy to remember.