Question

Number of points that two distinct lines cannot have in common

Answer 1

Answer:

Infinite Number of points that two distinct lines can have in common

Answer 2

Answer:

Two distinct lines cannot have two or more common points.

Step-by-step explanation:

We have two distinct lines A and B.  (Given)

Let’s suppose A and B have two points in common C and D.  (Suppose)

Now by Axiom 5.1  (By rule)

A unique line passes through two distinct points.

So only one-line passes through two common points C and D.

But we assumed that both lines A and B pass through C and D.

Hence our assumption is wrong and proved that distinct lines A and B cannot have two or more common points.