Transversals with Parallel Line Exploration 4

Step 1

In the applet below, a [b]TRANSVERSAL[/b] intersects [b]2 PARALLEL LINES[/b]. [br][br][br]First, look at the four different pairs of angles by checking the boxes on the right of the applet, then answer the first question.

Step 2

Use the sliders on the right to move the lines and change the angles. As you move the lines use the "[b][color=#980000]Slide Me![/color][/b]" slider to determine how the angles are effected by these changes. After you have tried this several time answer Questions 2 thru 4.[br][br]NOTE: The two lines intersected by the transversal will remain parallel at all times!

Question 1

What type of angles are these?

Corresponding Angles Consecutive Interior Angles Alternate Exterior Angles Alternate Interior Angles

Question 2

Complete the following statement: [b] If a transversal intersects two ________________ ______________, then [color=#b20ea8]_______________ __________________ angles[/color] are _____________________.[/b]

Question 3

If the pink angle above measures 134 degrees, what would the measure of its alternate interior angle be?

44 degrees Not enough information 46 degrees 134 degrees

Question 4

Would your answer remain the same in Question 3 if the lines were not parallel?

Yes No