The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is important. Using the diagram below identify the specific rigid motions used for the following shapes.

The figure translated 2 units down and reflected across y=1.5.

Step-by-step explanation:

From the given figure it is clear that the vertices of figure are A(0,4), B(-1,2), C(-4,2) and D(-3,6).

Vertices of image are A''(3,2), B''(4,0), C''(7,0) and D''(6,4).

It is clear that the difference between y-coordinates of figure and image is 2. It means figure translated 2 units down.

After translation, it is clear that the mid value of x-coordinates of A'B'C'D' and A"B"C"D" is 1.5. So, the figure is reflected across y=1.5.

Now,

Therefore, the figure translated 2 units down and reflected across y=1.5.

im a goose

step-by-step explanation:

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5

step-by-step explanation: