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.

the two may have that, even a breakdown is probably offered

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.