For the element to be congruent only rotations, reflections or translations are allowed to be applied
1)
(x, y) → (x, –y)=reflection
(x, y) → (x + 5, y)=translation
(x, y) → (–x, y)=reflection
->is congruent
2)
(x, y) → (x + 1, y)=translation
(x, y) → (–x, –y)=reflection
(x, y) → (2x, y)=scaling->can't be congruent
3)
(x, y) → (0.5x, 0.5y)=scaling->can't be congruent
(x, y) → (x, –y)
(x, y) → (x, y + 8)
4)
(x, y) → (x – 4, y)=translation
(x, y) → (x, y + 3)=translation
(x, y) → (3x, 3y)=scaling->can't be congruent
so 1) is the only series of transformations with a congruent solution
Answer:
their alright but the last one is the second one
Step-by-step explanation:
9 because a squre has equal sizes and area is leignth times width and 3 x 3= 9
Here, Translation factor: (x, y) → (x-4, y+5)
Coordinates of Image = B'(5, -6)
So, x-coordinate of point = x-4 = 5, x = 9
y-coordinate of point = y+5 = -6, y = -11
In short, Your Answer would be: Option B) (9, -11)
Hope this helps!