Question

3
start overline, A, F, end overline, \cong, start overline, C, E, end overline
AF
≅
CE


Transitive Property
4
angle, G, C, E, \cong, angle, H, A, F∠GCE≅∠HAF

Transitive Property
5
triangle, G, C, E, \cong, triangle, H, A, F△GCE≅△HAF

ASA
6
start overline, G, C, end overline, \cong, start overline, H, A, end overline
GC
≅
HA


Transitive Property
7
start overline, B, C, end overline, \cong, start overline, A, D, end overline
BC
≅
AD


Transitive Property
8

9
start overline, A, B, end overline, \parallel, start overline, C, D, end overline
AB
∥
CD


If two lines cut by a transversal form congruent corresponding angles, then the two lines are parallel
10
angle, B, A, E, \cong, angle, D, C, F∠BAE≅∠DCF

select a reason 3-10

Answer 1

I’m not sure which steps you want reasons for — several lines already show reasons (Transitive Property, ASA, etc.), and a couple lines are blank. Could you confirm:

- Do you want the reason for every statement numbered 3 through 10 (even those that already have a reason written)?
- Or do you want only the missing reasons (which appear to be for line 8 and possibly line 6/7 depending on whether you accept “Transitive Property” or prefer “CPCTC”)?
- Can you paste the full proof (or a diagram) including lines 1–2 so I can see the earlier statements that support the transitive steps?

If you want a quick likely set of reasons for 3–10 I can give a probable mapping (based on the usual geometry rules); tell me if you want that.