Question

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

Answer 1

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

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