Parallel Lines and Transversals

Task A

In Sketch 1, use the parallel line tool to construct a line through point P that is parallel to line m. Then, construct transversal

Sketch 1

Task B

In sketch one (above), use the angle tool to measure all eight angles formed by the transversal and the parallel lines. The angle tool requires you to click three points, so you may need to add points on your lines using the point tool. If the angle tool gives you the reflex angle, try clicking the points in the reverse order.

Question 1

State the pairs of corresponding angles below. Separate the pairs with a comma.

Question 2

Write a conditional statement about corresponding angles that is demonstrated by your measurements.

Question 3

State the pairs of same side interior angles below. Separate the pairs with a comma.

Question 4

Write a conditional statement about same side interior angles that is demonstrated by your measurements.

Question 5

State the pairs of alternate interior angles below. Separate the pairs by commas.

Question 6

Write a conditional statement about alternate interior angles below that is demonstrated by your measure ments.

Task C

Pick one of your conditional statements. Write its inverse in the field for question 7 below. Then, on sketch 2, move A, B, E, and F in a way which demonstrates your inverse statement. You should first use the angle measure tool to display the measurements of two relevant angles.

Sketch 2

Question 7

Write the inverse of the conditional statement you chose. Explain how your work in sketch 2 demonstrates that the inverse is true.