Answer the following questions:

1. Examine the two angle bisector constructions.Which angle bisector was created by following the construction steps correctly? How do you know? Which angle bisector was constructed incorrectly? Explain the step that was completed incorrectly.
2. Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.

You are givenand point C. Construct a line parallel tothat passes through point C.

Student A Steps:

Student B Steps:

Draw a line that intersects points B and C. Draw a line through point C and point G. Keep the compass at the same width, and place it on point C. Keeping the compass at the same width, place it on point F. Mark the intersection of the two arcs as point G. Open the compass to the width between points D and E. Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E. Swing an arc that crosses line BC, and label the point F. Swing an arc that intersects the arc created from line BC at point C.

Draw a line that intersects points B and C. Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E. Keep the compass at the same width, and place it on point C. Swing an arc that crosses line BC, and label the point F. Open the compass to the width between points D and E. Keeping the compass at the same width, place it on point F. Swing an arc that intersects the arc created from line BC at point C. Mark the intersection of the two arcs as point G. Draw a line through point C and point G.

1. What inscribed polygon is being constructed? Explain how you know.

Example 1

Example 2

Construct a line segment or an angleit's your choice! Then, bisect the segment or angle you constructed.

Think about the steps you took to construct and bisect the line segment or angle.

If you chose a line segment, how are the construction steps you completed similar to the steps you would have taken to construct and bisect an angle? How are they different?

If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and bisect a line segment? How are they different?