quadrilateral A'B'C'D' is the image of quadrilateral ABCD after being translated 6 units up and 7 units left. Quadrilateral A prime, B prime,C prime,D prime, where point B has coordinates (negative 3,5) What are the coordinates of the pre-image point B?​

Respuesta :

Answer:

[tex]B(x,y) = (-10,-1)[/tex]

Step-by-step explanation:

Given

[tex]B' = (-3,5)[/tex]

Required

Determine B

When a point is translated up, the result is:

[tex]y'->y + h[/tex]

Where h is the unit translated

y' is the new point and y is the previous;

So, we have

[tex]5 = y + 6[/tex]

[tex]y = 5 - 6[/tex]

[tex]y = -1[/tex]

When a point is translated left, the result is:

[tex]x'->x + h[/tex]

Where h is the unit translated

x' is the new point and x is the previous;

So, we have

[tex]-3 = x + 7[/tex]

[tex]x = -3 - 7[/tex]

[tex]x = -10[/tex]

Hence, the coordinates of B is

[tex]B(x,y) = (-10,-1)[/tex]

Answer:

5 units to the left

Step-by-step explanation: