FLVS 1.05 Geometry foundation activity Step 1: Evaluate 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.

Student A steps:
1. Draw a line that intersects point B and A
2. Draw a line through point C and point G
3. Keep the compass at the same width and place it on point C
4. Keeping the Compas add the same width Place it on point F
5. Mark the intersection of the two arcs as point G
6. Open the compass to the width between point D and E
7. Place the compass on point B and swing an arc that crosses line AB and line BC label the points D and E
8. Swing an arc that crosses line BC and label the point F
9. Swing an arc that intersects the arc created from line BC at point C

Student B steps:
1. Draw a line that intersects point B and C
2. Place the compass on point B and swing an arc that crosses line AB and line BC label the point D and E
3. Keep the compass at the same width and place it on point C
4. Swing an arc that crosses line BC and label the point F
5. Open the compass to the width between point D and E
6. Keeping the compass at the same width place it on point F
7. Swing an arc that intersects the arc created from line BC at point C
8. Mark the intersection of the two arcs as point G
9. Draw a line through point C and point G