What is the relationship between a rotation and a reflection? sketch a diagram that supports your explanation.

Answer with Step-by-step explanation:

Relationship between rotation and reflection:

In reflection, the pre-image gets flips across the same line.

whereas in rotation, the pre-image get spin around a point.

Rotations can be represented as two reflections i.e. the composition of reflections over two intersecting lines is always equal to rotation of that object.

In rotation, the object will get turned, this is turning some degree either clockwise or anti-clockwise.

Hence, rotation requires spinning and reflection requires flipping.

line or a linear equation graph

step-by-step explanation:

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.