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Can someone help I think it’s a, b, d but I would like to see what everyone else’s opinion is:)

Can someone help I think it’s a, b, d but I would like to see what everyone else’s-example-1
User PeakGen
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6.7k points

1 Answer

10 votes

Answer:

D

Explanation:

There are 5 ways to prove congruence:

1. SSS (3 sides)

Not applicable here

2. SAS (side-angle-side)

This requires a side, then an angle in between, and another side. This cannot be met with angles (as we currently have side-angle) so none of these are possible

3. ASA (angle-side-angle)

This is a side between angles, so if we squished line AC between angles C and A, and angle A=angle O, this would be true -- B is one answer

4. AAS (angle-angle-side)

Similar to option 3, but would be with angles T and G instead,

D is another answer

5. hypotenuse leg (only in right triangles)

The reason T and G fit AAS is because we hit angle T, then angle C, then side CA, all congruent with G, D, and DO in that order.

User Ezran
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