Question

a) Choose any two points. Consider their locations in the plane. How are they the same? How are they different? Write down at least three things you notice. b) Name the coordinates for each point: A ( , ) B ( , ) C ( , ) D ( , ) E ( , ) c) Make some observations relating coordinates to locations in the plane. (Here is an example: “When the first coordinate is positive, that point is located to the right of the y-axis.” Write down at least three things you notice.

Answer 1

a) Points A and B are symmetrical over the x-axis. Points A and B are on the same location on the x-axis but opposite directions on the y-axis. Points A and B lie on the same vertical line.

b) A (4,3); B (4,-3); C (3,-5); D (-4,-3); E (-5,3)

1. A point with a positive x-coordinate is to the right of the y-axis. [A,B,C]

2. A point with a negative x-coordinate is to the left of the y-axis. [D,E]

3. A point with a positive y-coordinate is above the x-axis. [A,E]