Answer:
Triangle ABC is rotated 180 degrees around point E, therefore, A maps to D, B maps to C, and C maps to B.
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Step-by-step explanation:
If you were to rotate triangle ABC 180 degrees around point E, then it would line up perfectly with triangle DCB
- Point A lands on point D
- Point B lands on point C
- Point C lands on point B
Note how in the sequence ABC we have A first, B second, then C third
Then for the sequence DCB we have D first, C second, then B third
This order matters so we can pair up the points properly
- A goes to D (A is first of ABC; D is first of DCB)
- B goes to C (B is second in ABC; C is second in DCB)
- C goes to B (C is third in ABC; B is third in DCB)