Parallel Lines
Using the lines on your notebook paper, draw a pair of parallel lines using a
straight edge. Then draw a transversal through the 2 parallel lines.
(a transversal is a line that intersects parallel lines, it must intersect both)
Label the angles the same as the drawing below.
Use a protractor to measure angle 1 on your paper. Then calculate the
measurements of the other angles that share the same vertex (2, 3, 4 ). Add each
measurement to the table below.
Use a protractor to measure angle 5 on your paper. Then calculate the
measurements of the other angles that share the same vertex (6, 7, 8 ). Add each
measurement to the table below.
Angle
Measure
Angle
Measure
1
5
2
6
3
7
4
8
Is there a pattern?
What do you notice about the corresponding angles?
1,5
2, 6
3, 7
Why are they called corresponding?
What do you notice about the alternate interior angles?
3, 5
4, 6
Why are they called alternate interior?
What do you notice about the alternate exterior angles?
1,7
2, 8
Why are they called alternate exterior?
What do you notice about the consecutive interior angles?
3, 6
4, 5
Why are they called consecutive interior?
What do you notice about the same side exterior angles?
1, 8
2, 7
Why are they called same side exterior?
4, 8
Part 2:
Using your new knowledge of parallel lines, use a compass and straight edge to
construct a line that is parallel to line below.
(Hint: you will need to draw a transversal and use your knowledge of constructing
congruent angles to construct the other line)