Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).

Triangle ABC has coordinates

A

(

1

,

4

)

;

B

(

3

,

−

2

)

;

and

C

(

4

,

2

)

.

A

(

1

,

4

)

;

B

(

3

,

-

2

)

;

and

C

(

4

,

2

)

.

Find the coordinates of the image

A

'

B

'

C

'

A

'

B

'

C

'

after a reflection over the x-axis.

Step-by-step explanation:

Triangle ABC with coordinates

Rule for reflection over x-axis is

The coordinates will change as follows

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional