Shape 1 and shape 2 are plotted on a coordinate plain. which statement about the shape is true. shape 1 and 2 are not congruent. a translation will prove that shape 2 is congruent to shape 1. arotation and a translation will prove that shape 2 is congruent to shape 1. a reflection, a rotation, and a tanslation will prove that shape 2 is congruent to shape 1

A'(-4 , 10)

B'(-4, 12)

C'(0, 12)

D'(0, 10)

Step-by-step explanation:

Given in the question are 4 coordinates of Quadrilateral ABCD

A(−2, 2)

B(−2, 4)

C(2, 4)

D(2, 2)

The rule is (x − 2, y + 8), that means

the translation is 2 units to the left and 8 units up

Applying the rule of the translation

Step1

A(-2, 2) = A'(-2-2 , 2+8) = A'(-4 , 10)

Step 2

B(−2, 4) = B'(-2-2 , 4+8) = B'(-4, 12)

Step 3

C(2, 4) = C'(2-2 , 4+8) = C'(0, 12)

Step 4

D(2, 2) =  D'(2-2 , 2+8) = D'(0, 10)

Describe what characteristics you would find if the corresponding vertices were connected with line segments.

If point A was connected to point A', point B was connected to point B',point C was connected to point C', point D was connected to point D' then all of these line will be parallel to each other, since they were all transformed by the same amount (x-2, y+8).