R S Aggarwal and Veena Aggarwal Solutions for Exercise 1: EXERCISE 6

What is the difference between a theorem and an axiom?

Define the following term:

Concurrent lines

From the given figure, name one rectilinear figure 

From the given figure, name the four concurrent points 

Two distinct lines cannot have more than one point in common.

Two lines are parallel only when they have no point in common.

In the given figure, $L and M$ are midpoints of $AB\hspace{0.17em}and BC$ respectively. If $AB\mathit{=}BC$, prove that $AL\mathit{=}MC$.

In the given figure, $L\mathit{ }and\mathit{ }M$ are midpoints of $AB\mathit{ }and\mathit{ }BC$ respectively. If $BL=BM$, prove that $AB=BC$.