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Using the image below, correctly write a statement that indicates the triangles are congruent.

HHHH R
AV
H

Using the image below, correctly write a statement that indicates the triangles are-example-1
User Oleksii
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1 Answer

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Answer: Triangle GHI = Triangle RST

Step-by-step explanation

I started with the triangle on the left side. I also started with the first letter available alphabetically, which is G. Then I went up the alphabetical order to get H and I.

This forms the label "Triangle GHI". As you'll soon see, the order is important.

Notice how angle G has triple markers for the angle. So does angle R. These two angles pair up and are congruent. Therefore, the other triangle label must have "R" listed first. The order is important. After that, the next letter is H which pairs with S. Both have double angle markers to show they are congruent. The last pair would be angles I and T, both have a single angle marker.

So we have:

  • G = R = triple markers
  • H = S = double markers
  • I = T = single markers

Therefore, Triangle GHI = Triangle RST

Once again, the order is important so we know which angles pair up. And it helps us determine which sides pair up as well. Example: GH = RS since both involve the first two letters of GHI and RST.

Luckily both GHI and RST are in alphabetical order; however, this may not always be the case.

User SourceVisor
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