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Line Segments

Total questions: 10

Worksheet time: 4mins

Name
Class
Date
1.

What is a line segment?

a)

A 2D shape

b)

A motorised transporter also known as a Segway

c)

A line that connects two points

d)

A group of people lining up outside on wet cement

2.

What is the midpoint of a line segment?

a)

Somewhere near the middle of a line

b)

The exact middle of a line joining 2 points

c)

There is no point

d)

Any point along a line segment

3.

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

a)

Midpoint = [(x1+x2)2, (y1+y2)2]\left[\frac{\left(x_1+x_2\right)}{2},\ \frac{\left(y_1+y_2\right)}{2}\right]

b)

Midpoint =
[(y1+x2), (y1+y2)]\left[\left(y_1+x_2\right),\ \left(y_1+y2\right)\right]

c)

Midpoint = [(x1+x2)2, (x1+x2)2]\left[\frac{\left(x_1+x_2\right)}{2},\ \frac{\left(x_1+x_2\right)}{2}\right]

d)

Midpoint = [(x1+x2)3, (y1+y2)3]\left[\frac{\left(x_1+x_2\right)}{3},\ \frac{\left(y_1+y_2\right)}{3}\right]

4.

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

a)

(x2x1)+(y2y1)\left(x_2-x_1\right)^{ }+\left(y_2-y_1\right)^{ }

b)

(x2x1)2\sqrt{\left(x_2-x_1\right)^2}

c)

(x2x1)2+(y2y1)2\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

d)

(x2x1)3+(y2y1)3\sqrt{\left(x_2-x_1\right)^3+\left(y_2-y_1\right)^3}^{ }

5.

What is the coordinate of point A?

a)

(2, 3)

b)

(3, 2)

c)

(3, 3)

d)

(7, 4)

6.

What is the coordinate of point B?

a)

(7, 4)

b)

(7, 7)

c)

(4, 4)

d)

(4, 7)

7.

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

a)

(6, 3)

b)

(3, 4)

c)

(5, 3)

d)

(5, 4)

8.

What is the gradient of line connecting A and B?

a)

12\frac{-1}{2}

b)

13\frac{1}{3}

c)

32\frac{3}{2}

d)

12\frac{1}{2}

9.

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

a)

So the pilot knows when to have a lunch break

b)

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

c)

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

d)

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

10.

Which of the following is NOT true?

a)

The exact middle of a line segment is called the midpoint

b)

A line segment is a straight line connecting to points

c)

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

d)

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