Question

Triangle ABC is translated 1 unit right and 2 units down. What are the coordinates of the translated triangle?

Answer 1

A' = (2,1)
B' = (5,3)
C' = (4,-1)

Answer 2

Answer:

$A'(2,1)$

$B'(5,3)$

$C'(4,-1)$

Step-by-step explanation:

We have been given an image of a triangle ABC, which is translated 1 unit right and 2 units down. We are asked to find the coordinates of the translated triangle.

We know that translation to right by 'a' units means adding 'a' units to x-coordinate and translation by 'a' units down means subtracting 'a' units from y-coordinates.

So after applying the given translation coordinates of translated triangle will be:

$A(1,3)\rightarrow A'(1+1,3-2)=A'(2,1)$

$B(4,5)\rightarrow B'(4+1,5-2)=B'(5,3)$

$C(3,1)\rightarrow C'(3+1,1-2)=C'(4,-1)$

Therefore, the coordinates of the translated triangle are:

$A'(2,1)$

$B'(5,3)$

$C'(4,-1)$