What two pieces of information do we get from the dilation theorem about 1 point segment PQ and P'Q'? (Select all that apply)

The correct options are;

P'Q' = rPQ

PQ is parallel to P'Q'

Step-by-step explanation:

The dilation theorem states that;

1) The segment formed by dilation is the length of the original segment multiplied by the scale factor or factor of dilation

2) The lines of the original and the dilated segment are parallel

Therefore, the correct options are;

a) PQ = rP'Q'

b) PQ is parallel to P'Q'

16 is the absolute value

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct