Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Use the Protractor Postulate to prove that if are any three rays or one side of

ID: 2980040 • Letter: U

Question

Use the Protractor Postulate to prove that if are any three rays or one side of a line and having the same end point, then either or .

Explanation / Answer

This refers to the uniqueness of a ray forming a given angle with a given ray. Start with ray OA-> (beginning at O, continuing through point A). Place your protractor with the center at O, and the zero-degree ray being OA->. The protractor postulate says that for each ray beginning at O, there is exactly one real number in the range [0, 360) degrees that corresponds to that ray's angle measure from OA. For each ray, there is a unique angle measure (less than 360). For each angle measure, there is a unique ray.