Line Segments

What is a line segment?

• A 2D shape

• A motorised transporter also known as a Segway

• A line that connects two points

• A group of people lining up outside on wet cement

What is the midpoint of a line segment?

• Somewhere near the middle of a line

• The exact middle of a line joining 2 points

• There is no point

• Any point along a line segment

What is the formula for calculating the midpoint of a line segment?

• Midpoint = $\left[\frac{\left(x_1+x_2\right)}{2},\ \frac{\left(y_1+y_2\right)}{2}\right]$

• Midpoint =
  $\left[\left(y_1+x_2\right),\ \left(y_1+y2\right)\right]$

• Midpoint = $\left[\frac{\left(x_1+x_2\right)}{2},\ \frac{\left(x_1+x_2\right)}{2}\right]$
  

• Midpoint = $\left[\frac{\left(x_1+x_2\right)}{3},\ \frac{\left(y_1+y_2\right)}{3}\right]$
  

The formula used to calculate the length of a line segment is:

• $\left(x_2-x_1\right)^{ }+\left(y_2-y_1\right)^{ }$

• $\sqrt{\left(x_2-x_1\right)^2}$

• $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

• $\sqrt{\left(x_2-x_1\right)^3+\left(y_2-y_1\right)^3}^{ }$

What is the coordinate of point A?

• (2, 3)

• (3, 2)

• (3, 3)

• (7, 4)

What is the coordinate of point B?

• (7, 4)

• (7, 7)

• (4, 4)

• (4, 7)

What is the midpoint of the line connecting A and B?

• (6, 3)

• (3, 4)

• (5, 3)

• (5, 4)

What is the gradient of line connecting A and B?

• $\frac{-1}{2}$

• $\frac{1}{3}$

• $\frac{3}{2}$

• $\frac{1}{2}$

Why might the concept of a midpoint be important for a plane's flight path?

• So the pilot knows when to have a lunch break

• It's a good place to throw out any passengers causing problems

• Plane's can't fly without the midpoint being programmed into the engines computer

• If there is a problem with the plane's engine, it can be used to determine whether to keep going or head back

Which of the following is NOT true?

• The exact middle of a line segment is called the midpoint

• A line segment is a straight line connecting to points

• If a line segment has no midpoint it is called a pointless line

• The midpoint can be calculated by finding the average of the x coordinates and the average of the y coordinates for the endpoints