Properties of Parallel Lines

Lines AB and FC are parallel. Line BC is a transversal of the two parallel lines AB and FC.
Use points A, B, and C to change the angle values. When a transversal intersects two parallel lines, what angle relationships are formed? Make as many observations as you can.

When a transversal intersects parallel lines, what is the relationship between corresponding angles?

When a transversal intersects parallel lines, what is the relationship between alternate interior angles?

When a transversal intersects parallel lines, what is the relationship between same-side interior angles?

This question has four parts (a-d)

a. Identify a pair of corresponding angles: ____________ & ____________.

b. Record the measure of each:  ____________ & ____________.

Move either the transversal and/or the parallels, by moving points A, B, or C.

c. Record the measures of the same two angles: ____________ & ____________.

Form a conclusion from your observations:

d. If parallel lines are cut by a transversal, then corresponding angles are ___________________.

This question has four parts (a-d)

a. Identify a pair of alternate interior angles: ____________ & ____________.

b. Record the measure of each:  ____________ & ____________.

Move either the transversal and/or the parallels, by moving points A, B, or C.

c. Record the measures of the same two angles: ____________ & ____________.

Form a conclusion from your observations:

d. If parallel lines are cut by a transversal, then alternate interior angles are ___________________.

This question has four parts (a-d)

a. Identify a pair of same-side interior angles: ____________ & ____________.

b. Record the measure of each:  ____________ & ____________.

Move either the transversal and/or the parallels, by moving points A, B, or C.

c. Record the measures of the same two angles: ____________ & ____________.

Form a conclusion from your observations:

d. If parallel lines are cut by a transversal, then same-side interior angles are ___________________.