Question

4 intersecting lines are shown. Line m contains points E and C. Line n intersects line m at point E and also contains point A. A line comes out of point A and contains points C and D. A line comes out of point C and contains point B.
Which statements are true regarding the diagram? Check all that apply.

CB is contained on line n.
Ray C E is contained on line m.
Ray BC is the same as ray CB.
Ray AD is the same as ray AC.
∠EAD is created from Ray A E and Ray D A.
∠ECB is created from Ray C E and Ray C B.

Answer 1

True:
- Ray CE is contained on line m. (C and E lie on line m, so the ray from C through E lies on m.)
- Ray AD is the same as ray AC. (C and D lie on the same line through A on the same side of A, so the rays from A through C and through D are the same.)
- ∠ECB is created from Ray CE and Ray CB. (Angle ECB has vertex C and sides along CE and CB.)

False:
- CB is contained on line n. (Line n contains A and E, not C and B.)
- Ray BC is the same as ray CB. (Different endpoints, so different rays.)
- ∠EAD is created from Ray AE and Ray DA. (∠EAD uses rays AE and AD; Ray DA has the wrong endpoint/direction.)