Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

(Eq. 1)

ii) Translation three units in the -y direction:

(Eq. 2)

iii) Translation four units in the -x direction:

(Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) Given.

2) By (Eq. 1)

3) By (Eq. 2)

4) By (Eq. 3)/Result

a) false; the points do not have to be in a straight line.

step-by-step explanation:

the points could be in the shape of a triangle

b is incorrect

c is incorrect because it is saying the immediately don't form one when they are capable of doing so

d is incorrect

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb