PLEASE HELP!! There are many ways to define similarity. Some definitions allow congruent figures to also be similar, while others do not. Examine the following definitions for similar figures.

figures that are the same shape but not necessarily the same size

figures that are the result of a similarity transformation (including rigid transformations)

Notice that both of these definitions allow congruent figures to also be called similar.

Write your own definition for similarity that does not allow congruent figures to also be called similar.

How does this definition for similarity relate to rigid transformations, dilations, and scale factors?

a. Explain whether rigid transformations would be considered similarity transformations.

b. Explain what dilations and scale factors would be considered similarity transformations.

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).