Page 105 - NUMINO Challenge_B1

12 Intersecting Points and Sections

Basic Concepts Number of Intersecting Points

An intersecting point is where two lines cross.
There can be up to 3 intersecting points where three lines cross, depending
on how the lines are drawn.

When all of the three lines are When the three lines cross at
parallel one point

No intersecting points 1 intersecting point

When two parallel lines cross When none of the lines are
with the other line parallel and the lines do not
cross at one point
2 intersecting points
3 intersecting points

Example Draw four lines to create 5 intersecting points.

Class Notes

When the four lines are all parallel to one another, there is/are
intersecting point(s).

When all of the four lines cross at one point, there is/are
intersecting point(s).

When three lines cross at one point, and two lines are parallel,

there is/are intersecting point(s).

When one line crosses three parallel lines, there is/are intersecting
point(s).

When none of the three lines cross at one point, and only two lines are

parallel, there is/are intersecting point(s).

Try It Again What is the maximum number of intersecting points when there
are four lines?

102 NUMINO Challenge B1