Question

Please draw and label a figure for this sentence in geometry

Points A(2,3) and B(2,-3), C and D are collinear, but A,B,C,D, and F are not.

Answer 1

First, plot points A & B on a graph.

Collinear just means 3 or more points in a straight line (because just 2 points are always collinear, since a straight line can always be drawn through two points.

The instructions don't state a specific area in which points C & D have to be in, so you can put them anywhere, as long as they are collinear with each other, but not any other points,

• i.e. putting three units up and two units left of points A & B

So let's make up some points for C & D that are on a straight line.

• Remember, this line does not have to be horizontal! As long as it's a straight line, any direction will do.

Here are some points that you can choose from:

• C(-1, 1); D(-1, -1)
• C(4, 5); D(4, -5)
• C(3, 4); D(3, 5)
• Anything that doesn't fall on x=2 or y=±3.

For "F" just pick a set of coordinates off to the side and label it

• F(-3,-6)
• F(-4, 8)
• F(6, -7)

You can even use half values if you want:

• (0.5, 3.2)
• (1.2, -4.1)
• (-9.1, -0.2)

As long as your plotted points meet the criteria:

1. C & D are Collinear
2. A, B, C, D, & F must not land on the same straight line.