Question

Parallel lines and transversal

Answer 1

parallel lines never cross

but transversal lines do cross

I hope this helps

have a great day

Answer 2

Answers:

1.

a) all segments parallel to XT are WS, ZV and YU.

Remember that parallel segments are those which have the same angle of inclination. In this case, those segments we mentioned are perpendicular to the bottoming plane, so they have the same inclination.

b) all segments parallel to ZY are WX, VU and ST.

These segments are all parallel because they all are horizontal, they have a null slope.

c) the only segment parallel to VS is ZW, becuase they move has the same angles of inclination.

d) a plane parallel to STU is WXY, basically beacuse they have the same angle of inclination. It's like a roof and a floor, those planes are always parallel each other.

e) a plane parallel to UVZ is TSW, because they have the same inclination-

f) all segments skew to SW are UY, UV, UT, ZY and YX, mainly beacuse they don't intercept and they are on different planes

g) all segments skew to UT are ZY, WX, ZW, ZV and WS because they don't intercept and they are on different planes.

2.

a) AB and BC intercect.

b) AE and BF are parallel.

c) EF and AD skew

d) plane ABC and plane ABF are intersecting.

e) plane AED and plane BFC are parallel.

3.

f) line l is a transversal, which is a line that passes through another two lines in the same plane.

g) all corresponding angles are 5 and 7, 6 and 8, 1 and 3, 2 and 4.

h) all alternate interior angles are 2 and 7, 6 and 3.

i) all alternate exterior angles are 1 and 8, 5 and 4.

j) all consecutive interior angles are 6 and 7, 2 and 3.

4.

a) the transversal connecting angle 1 and angle 5 is line r.

b) the transversal connecting angle 7 and angle 14 is line t, the one at the right side between lines r and s.

c) the transversal connecting angle 8 and angle 11 is line s.