Triangle j'k'l' is the image of triangle jkl under a dialation through point c. l'k'=2 and lk=10

answer: lk= 10 cm

l'k'= 2 cm

to get from 10 to 2 cm, divide by 5. this is the same as multiplying by 0.2, which makes the scale factor 0.2. however, notice how the lines for l'k' appear on the opposite side of point c compared to the line for lk. this makes the scale factor -0.2.

final answer: -0.2

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.