Question

Which names are correct for EN (line segment of A , B, E, G, N, R, T in that order)?

A. ER
B. BN
C. NE
D. EG
E. All of the above

Answer 1

The correct names for the line segment EN, given the points A, B, E, G, N, R, T, are EG and NE. Options A (ER) and B (BN) are incorrect as they do not match the exact endpoints or include the entirety of EN. Therefore, the correct options are D (EG) and C (NE).

Step-by-step explanation:

The correct for EN (line segment of A, B, E, G, N, R, T in that order). In geometry, the line segment name is typically denoted by its endpoints. Given the order A, B, E, G, N, R, T, the line segment EN would start at E and end at N. Therefore, the correct names that represent segments of EN would be:

• EG: This is part of EN, beginning at E and going through G.
• BN: This is incorrect because it starts at B and ends at N, not including the entirety of EN.
• NE: This is the reverse of EN, so it's also correct, as segments can be named in either direction.
• ER: This is incorrect because it extends beyond N to R.

Therefore, the correct answers are D. EG and C. NE.