Regina drew a triangle with vertices at ( 1 , 2 ) , ( 3 , 3 ) , and ( 4 , 1 ) . She slides the triangle 2 units down to create an image. What are the vertices of the image? A. ( 1 , 0 ) , ( 3 , 1 ) , and ( 4 , − 1 )
B. ( 1 , 4 ) , ( 3 , 5 ) , and ( 4 , 3 )
C. ( − 1 , 2 ) , ( 1 , 3 ) , and ( 2 , 1 )
D. ( 3 , 2 ) , ( 5 , 3 ) , and ( 6 , 1 )

Okay so you are basically just moving the triangle down two Right? So I believe you are only going to be changing your x axis which is the first out of the two numbers. So your gonna think of it as subtracting 2 from the x axis numbers. Examples, (1,2) you would change that to (-1,2). Or (3,3) that would change to (1,3). Or (4,1) that would change to (2,1). If you do not understand than think of it as money. like if you have 1 dollar but owed two dollars than you would have to owe 1 dollar and Etc

ColinJacobus ColinJacobus · Answer 2 · 2019-08-29T12:08:12+02:00

Answer: The correct option is

(A) (1, 0), (3, 1) and (4, -1).

Step-by-step explanation: Given that Regina drew a triangle with vertices at (1 , 2), (3 , 3) and (4 , 1). She slides the triangle 2 units down to create an image.

We are to find the vertices of the image.

We know that

if a point (x, y) is translate 2 units down, its co-ordinates changes as follows :

[tex](x,y)~~~\Rightarrow~~~(x,y-2).[/tex]

Therefore, the vertices of the image of the given triangle are

(1, 2) ⇒ (1, 2-2) = (1, 0),

(3, 3) ⇒ (3, 3-2) = (3, 1)

and

(4, 1) ⇒ (4, 1-2) = (4, -1).

Thus, the required co-ordinates of the image are (1, 0), (3, 1) and (4, -1).

Option (A) is CORRECT.