We're given that the line l is the bisector of angle 
AOB
Step 1. Let P be a point (inside the angle) on l.
Step 2. Since l is the angle bisector, AOP
@ BOP.
Step 3. Drop perpendiculars from P to the lines OA and OB. Let C and D be the points where the two perpendiculars meet the respective lines.
Therefore PCO and PDO
are right angles.
Step 4. Explain why the remaining angles in DPCO and DPDO are congruent to each other. ______________________________________
Step 5. Prove that DPCO and DPDO are congruent. (What criterion for congruence are you using?) __________________
Step 6. Explain why P is equidistant from the lines OA and OB. (What property of congruent triangles are you using?
What do we mean when we talk about "the distance from a point to a line?)
______________________________________
Back to the homework assignment list