Question

Triangle T is translated to Triangle T '. What is the translation from T to

T '?

(A.) 3 units left

(B.) 3 units right

(C.) 5 units left

(D.) 5 units right ​

Answer 1

Answer: OPTION C.

Explanation:

Observe the figure.

You can identify that the vertices of the triangle T are:

`(2,1),(1,2),(4,1)`

And the vertices of the triangle T' are:

`(-3,1),(-4,2),(-1,1)`

You can notice that the y-coordinates of the triangle T and the y-coordinates of the triangle T' are equal, but the x-coordinates change; these are translated "k" units to the left.

You can pick the x-coordinates of the vertices
`(2,1)` and
`(-3,1)` and write the following equation:

`2+k=-3`

Solving for "k", you get:

`k=-3-2\\\\k=-5`

Therefore, the translation from T to T' is 5 units left.