Locate quadrilateral ABCD and quadrilateral EFGH on the coordinate plane. Use GeoGebra to identify the transformations that will map ABCD onto EFGH, and then describe them in the table. Enter the coordinates of the vertices of the images that you created. Paste a screen capture of the images below the table.

Transformation is a translation of the figure by which the orientation or size of a given figure is changed without any single effect on the shape.

What is the rotation?

A rotation is one kind of translation in which the object rotates about a fixed point or axis. The direction of rotation may be either clockwise or anticlockwise.

As we know if we rotate a point of coordinate (x,y) 90° counter clockwise then the new coordinate of the point will be (-y,x).

Here the new coordinate of point A(1,-2) will be (2,1).

the new coordinate of point B(3,-1) will be (1,3).

the new coordinate of point C(2,-4) will be (4,2).

the new coordinate of point D(1,-3) will be (3,1).

As we know if we reflect the point of coordinate (x,y) about the y-axis then the new coordinate will be (-x,y).

Here the new coordinate of point A(2,1) will be (-2,1).

the new coordinate of point B(1,3) will be (-1,3).

the new coordinate of point C(4,2) will be (-4,2).

the new coordinate of point D(3,1) will be (-3,1).

As we know if we translate the point of coordinate (x,y) 3 units right then the new x coordination will be increased by 3. And the new coordinate will be (x+3,y).

Here the new coordinate of point A(-2,1) will be (1,1).

the new coordinate of point B(-1,3) will be (2,3).

the new coordinate of point C(-4,2) will be (-1,2).

the new coordinate of point D(-3,1) will be (0,1).

Therefore the final answer is attached below with a graph.

Learn more about transformation

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