Parallel Lines

Name Computer Number

Construct a horizontal segment AB.

Construct a slanted segment CD that intersects segment AB.

Choose each segment, construct "point at intersection", label as X.

Choose segment CD, construct "point on object" (make sure point is below point X), label as Y.

Choose segment AB and point Y, construct "parallel line".

Choose this line, construct "point on object" (make sure this point is to the left of point Y), label as M.

Choose this line again, construct "point on object" (make sure this point is to the right of point Y), label as N.

Choose points M and N, construct "segment".

Choose the line outside of segment MN, display "hide line".

Your picture should look like the one shown below.

(the angle numbers will not be on your screen).

Segment CD is a transversal.

Define transversal.

The interior angles are .

The exterior angles are .

Name all the sets of vertical angles.

Name all the sets of linear pairs.

Meaure all the angles.

1 = 2 = 3 = 4 =

5 = 6 = 7 = 8 =

The alternate interior angles are , and , .

What can you conclude about these angles?

The consecutive interior angles are , and , .

What can you conclude about these angles?

The alternate exterior angles are , and , .

What can you conclude about these angles?

The consecutive exterior angles are , and , .

What can you conclude about these angles?

The corresponding angles are , and , and , and , .

What can you conclude about these angles?

Work the problems below and show all work.

If 1 = 3x + 8 and 6 = 11x + 4,

(show work in box below)

x = ,1 = , 6 =.

If 5 = 90, what can you conclude about the other angles that are formed by the parallel lines and the transversal?

Define skew lines.

Give a real life example of skew lines and parallel lines below.