The position of the points is a symmetrical over the x-axis.
According to the statement
We have to find that the positions of the points.
So, For this purpose, we know that the
The location of a point with respect to the locations of other points is the position of the points.
From the given information:
We let the two points A and B. Then
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]
So, The position of the points is a symmetrical over the x-axis.
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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.
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