Identify the translation rule on a coordinate plane that verifies that square a(-4,3), b(-4,8), c(-9,3), d(-9,8) and square a'(-3,4), b'(-3,9), c'(-8,4), d'(-8,9) are congruent. q

(x,y) > (x+1,y+1)

Step-by-step explanation:

we have

A(-4,3) > A'(-3,4)

so

The translation is 1 unit at right and 1 unit up

The rule of the translations is

(x,y) > (x+1,y+1)

Verify the other vertices of the square

Applying the  rule of the translation

B(-4,8) > B'(-4+1,8+1)

B'(-3,9) > is ok

C(-9,3) > C'(-9+1,3+1)

C'(-8,4) > is ok

D(-9,8) > D'(-9+1,8+1)

D'(-8,9) ---> is ok

Remember that

The shape and the size of the object does not change after it is translated

therefore

square ABCD and square A'B'C'D' are congruent

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have