△abc is reflected to form △a'b'c' .

the coordinates of point a are (−4,−3) , the coordinates of point b are (−7,1) , and the coordinates of point c are (−1,−1) .

which reflection results in the transformation of △abc to △a'b'c' ?

a. reflection across the x-axis.

b. reflection across the y-axis

c. reflection across y = x.

d. reflection across y=−x .

Option A is correct

reflection across the x-axis

Step-by-step explanation:

The rule for reflection across x-axis is given by:

As per the statement:

The coordinate of triangle ABC are:

A(−4,−3) , B(−7,1) and C(−1,−1).

The coordinate of triangle A'B'C' are:

From the given diagram we have;

A'(-4, 3), B'(-7, -1) and C'(-1, 1)

Apply the rule of reflection across x-axis on ABC we have;

Therefore, the  reflection results in the transformation of △ABC to △A'B'C' is, reflection across the x-axis

A

Step-by-step explanation:

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step-by-step explanation:

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