Proof Check: Geometry AB=EF If A=/B

[Loststudent22]

Homework Statement

Let A and B be elements of the line EF such that A=/B prove that the line AB=EF

Homework Equations

Axiom that two points determine a unique line and that the intersection of two lines has two distinct points then these lines are the same.

The Attempt at a Solution

[/B]
If A and B are two distinct points they then determine a unique line say X. Let EF=Y then the intersection of X and Y contains at least two distinct points therefore X=Y so AB=EF. Is that sufficient?

 

[Mark44]

Homework Statement

Let A and B be elements of the line EF such that A=/B prove that the line AB=EF

What do you mean by A=/B?

Are A and B points in the line segment EF?

Homework Equations

Axiom that two points determine a unique line and that the intersection of two lines has two distinct points then these lines are the same.

The Attempt at a Solution

[/B]
If A and B are two distinct points they then determine a unique line say X. Let EF=Y then the intersection of X and Y contains at least two distinct points therefore X=Y so AB=EF. Is that sufficient?