Question

.
In fig. write the Co-ordinates of the points and if we join the points write the name of fig.
formed. Also write Co-ordinate of intersection point of AC and BD.​

Answer 1

Answer:

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Answer 2

The coordinates of points A, B, C, and D are (0, a), (a, 0), (0, -a), and (-a, 0) respectively; the coordinates of point of intersection of AC and BD is (0, 0), and; the figure ABCD will be a square.

Given:

lines AC and BD as shown in the image above

To Find:

1. the coordinates of points A, B, C, and D

2. the coordinates of the point of intersection of AC and BD

3. the name of the figure formed by joining the points

Solution:

as we can see in the figure, lines AC and BD are on the x and y axis

thus, their point of intersection will be the origin or (0, 0)

points A, B, C, and D are all equidistant from the origin

⇒ figure ABCD will be a square

let the x coordinate of point B be a

then, the coordinates of point B will be (a, 0)

further, the coordinates of points A, C, and D will be (0, a), (0, -a), and (-a, 0) respectively

Thus, the coordinates of points A, B, C, and D are (0, a), (a, 0), (0, -a), and (-a, 0) respectively; the coordinates of point of intersection of AC and BD is (0, 0), and; the figure ABCD will be a square.

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