Q: Where is a point located if it has the same x-coordinate as the origin?

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The best way is this:Draw a line from the point closest to the origin to the actual origin. Rotate the line however many degrees you are told, whichever way you are told. After you have the point closest to the origin rotated, you can either rotate the other points the same way or just draw them in based on where the other point lies.Another way, sort of the cheater way, is to just take a piece of tracing paper and trace the figure onto it. Hold it down by pressing your pencil on the tracing paper where the origin is, and rotating it however many degrees, whichever way you are told.This is for ROTATE. To reflect just use the opposite signs on the coordinates.

No, it is not. The y-intercept is the point where a function is evaluated as x=0. The point symmetrical to that is the one the same distance from the origin along the y-axis. For example, in the function y = 3x + 2, the y=intercept is (0,2) and the point symmetrical to that is (0,-2) Also, the x-intercept is when y=0 (solving for x) ■

It is a graph which shows the distance of an objectfrom a fixed point (the origin),only in the radial directionat different times.The importance of the second bullet is that the distance from the origin, of an object going around it in a circle, is constant. As a result the distance-time graphs of one object in rapid rotation about the origin and another object that is not moving at all will be the same!

7 circle theorums 1 the angles between a tangent and a radius is 90 degrees 2 the angle at the origin is double the angle at the circumfrence 3 the oppsite angles in a cyclic quadrilateral add up to 180 degrees 4 the angle of a trianle in a semi circle is 90 degrees 5 the alternate angles subtended at a segment are the same 6 the tangents are the same length from the same point of origin. 7 the alternate angle at a tangent and a triangle is the same.

y = 20x is symmetric about the origin. (If you rotate it around the origin, it will look the same before it is rotated 360 degrees).

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Think of any figure, with any shape, on the graph with the origin inside the shape.Now think of any point inside the shape (except the origin).Now, in your imagination, slowly and carefully turn the shape 180 degrees around the origin ...as if it were stuck to the origin with a pin, and you gave it 1/2 turn on the pin.What happened to the point you were thinking of ?If the point started out some distance to the right of the y-axis, it wound up the same distanceto the left of the y-axis.And if it started out some distance above the x-axis, it wound up the same distance below the x-axis.So ... any point that starts out at the coordinates ( x , y ) before the 1/2 turn, winds upat the coordinates ( -x , -y ) after the 1/2 turn.

Sort of, if you throw a stone into water, the ripples spread out as waves form the point where the stone splashed into the water. It is the same with Tsunami waves they spread out from their point (or line) of origin and cross the oceans.