Question

Draw a line $t$ on a piece of paper. Mark two points on $t$. At each point, fold the paper so that the two parts of $t$ coincide, then crease the paper. The two creases form lines $m$ and $n$. How are $m$ and $n$ related? Explain your reasoning.

Short answer

The relation between $m\text{and}n$ is that $m\text{and}n$ forms the median between two points of line $t$. It divides the line $t$ symmetrically.

Step-by-step solution

Step 1. Given Information.

A line $t$ is given.

Step 2. Explanation.

Since, the two creases which is formed after coinciding the two points of line $t$divides the line into two equal halves.

Therefore, the relation between $m\text{and}n$ is that $m\text{and}n$ forms the median between two points of line $t$. It divides the line $t$ symmetrically.

Step 4. Conclusion.

The relation between $m\text{and}n$ is that $m\text{and}n$ forms the median between two points of line $t$. It divides the line $t$ symmetrically.