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Exploring Angles Formed by Parallel Lines NY

Author:Nicole Yumori, Nicole Wilson
For use with investigating angles formed by parallel lines and a transversal

Angles Formed by Parallel Lines Exploration

Step 1

Using your mouse, grab any line and see how the figure changes. (This so you get use to the program)

Step 2

Click on line AB. Drag the line in different directions.

Step 3

All of the angles are labeled with lower case letters (see the list on the left). Make sure that "a" and "e" are highlighted in red on the list and on the diagram. The numbers on the diagram lists what those angle measurements are. What kind of angles are "a" and "e"? (There is only one answer.)

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Step 4

If you move line AB, what do you notice about the measurements of angle "a" and "e"?

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Step 5

All of the angles are labeled with lower case letters (see the list on the left). Click on "c" and "g" are highlighted in purple on the list and on the diagram. The numbers on the diagram lists what those angle measurements are.

Step 6

If you move line AB, what do you notice about the measurements of angle "c" and "g"?

Check my answer

Step 7

What conjecture (educated guess) can you make about corresponding angles when formed by PARALLEL lines? (There is only one answer.)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Step 8

All of the angles are labeled with lower case letters (see the list on the left). Click on "c" and "e" are highlighted in purple and red on the list and on the diagram. What kind of angles are "c" and "e"? (There is only one answer.)

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Step 9

Look at the measurements of angle "c" and "e". What conjecture (educated guess) can you make about alternate interior angles when formed by PARALLEL lines? (There is only one answer.)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Step 10

All of the angles are labeled with lower case letters (see the list on the left). Click on "b" and "h" are highlighted in purple and green on the list and on the diagram. What kind of angles are "b" and "h"? (There is only one answer.)

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Step 11

Look at the measurements of angle "b" and "h". What conjecture (educated guess) can you make about alternate exterior angles when formed by PARALLEL lines? (There is only one answer.)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Step 12

All of the angles are labeled with lower case letters (see the list on the left). Click on "c" and "f" are highlighted in purple and green on the list and on the diagram. What kind of angles are "c" and "f"? (There is only one answer.)

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Step 13

Look at the measurements of angle "c" and "f". What conjecture (educated guess) can you make about same side interior angles when formed by PARALLEL lines? (There is only one answer.)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Step 14

When two parallel lines are cut by a transversal, there is a special relationship between corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. This relationship is ONLY TRUE if the LINES ARE PARALLEL. Fill in the blanks: a) If two parallel lines are cut by a transversal, then corresponding angles are ______________________. b) If two parallel lines are cut by a transversal, then alternate interior angles are ______________________. c) If two parallel lines are cut by a transversal, then alternate exterior angles are ______________________. d)If two parallel lines are cut by a transversal, then same-side interior angles are ______________________. (Type your 4 answers.)

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Step 15

I hope you are able to "discover" the relationship with angles formed by parallel lines. Go back to Google Classroom and work on Unit 1 Notes 2 Angles formed by Parallel Lines

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