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Well this is my thought depending on where the point of dilation is the coordinates of the give plane is determined. The point of dilation not only is main factor that positions the coordinates, but the scale factor has a huge impact on the placement of the coordinates.

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14y ago

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A B C Has coordinates of A(6 7) B(4 2) and C(0 7). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2.?

To find the image of points A, B, and C after a dilation centered at the origin with a scale factor of 2, you multiply each coordinate by 2. The new coordinates are A'(12, 14), B'(8, 4), and C'(0, 14). Thus, the images of the points after dilation are A'(12, 14), B'(8, 4), and C'(0, 14).


What are the coordinates of the midpoint of GH with end points?

-- The 'x' coordinate of the midpoint is the average of the 'x'-coordinates of the end-points. -- The 'y' coordinate of the midpoint is the average of the 'y'-coordinates of the end-points.


Describe the coordinates of all points in all the quadrants?

The coordinates of all points in the coordinate plane consist of ordered pairs of numbers.


How can you tell that the line segment connnecting the points is vertical without graphing the points?

The equation does not have and y variable in it: it is of the form x = c. Alternatively, the x coordinates of both points are the same and the y coordinates are not.


Points where lines meet?

Intersection or coordinates


How is plotting of points done?

By giving their coordinates.


What are the coordinates of d if abcd is to be a trapezium?

To determine the coordinates of point D in trapezium ABCD, we need the coordinates of points A, B, and C, as well as the requirement that one pair of opposite sides (either AB and CD or AD and BC) are parallel. If AB is parallel to CD, then the y-coordinates of points A and B must equal the y-coordinates of points C and D, respectively. Alternatively, if AD is parallel to BC, then the x-coordinates of A and D must equal the x-coordinates of B and C. Please provide the specific coordinates of points A, B, and C for a precise answer.


Which properties are preserved under dilation?

Properties such as parallelism, ratio of distances, and the measure of angles are preserved under dilation. This means that parallel lines remain parallel after dilation, the ratio of lengths between corresponding points remains constant, and angles maintain their measures before and after dilation.


When graphing the points can your tell whether or not they are collinear?

Yes. Calculate the ratio of the difference in y-coordinates and the difference in x-coordinates between pairs of points. If the ratio is the same, the points are collinear. If not, they are not. The only exception is if all the x-coordinates are he same and the ratio is not defined. In this case the points are also collinear - all on a vertical line.


Do points have length but no height in geometry?

On the Cartesian plane points have coordinates of length and height


What are pairs of numbers that show points on a graph?

Coordinates.


Which methods can you use to get the y coordinates of a midpoint?

Take the arithmetic average of the y-coordinates of the end points.