G.1.19.2 That Can’t Be Right, Can It?
- Katie Akesson
Here is a figure where ray r meets line l. The dashed rays are angle bisectors.
Diego made the conjecture: “The angle formed between the angle bisectors is always a right angle, no matter what the angle between r and l is.”
It is difficult to tell specifically which angles Diego is talking about in his conjecture. Here is a labeled diagram and a rephrasing of Diego's conjecture with more specific details:
Use the labeled diagram to explain why Diego's conjecture is true.
Priya writes the conjecture "Vertical angles are congruent". Rephrase Priya's conjecture more precisely using the labels from your diagram above.
Use 180 degree rotations and your labeled diagram and detailed description to explain why Priya's conjecture is true.