Question

1. In the diagram, AA'B'C' is an image of AABC. Which rule describes this translation?

O(x, y) → (x-5,y-3)
O(x, y) + (x + 5, y + 3)
O(x,y) → (x-3, y-5)
O(x, y) (x+3, y + 5)

Answer 1

its b

Step-by-step explanation:

hdhbdbehebebehrbrb

Answer 2

Option B:
`(x, y) \rightarrow(x+5, y+3)` is the rule for the translation

Step-by-step explanation:

The coordinates of A,B,C are
`(-3,2)` ,
`(-3,-3)` ,
`(0,-2)`

The coordinates of A',B',C' are
`(2,5)` ,
`(2,0)` ,
`(5,1)`

We need to determine the rule for the translation

The rule for the translation is given by

`P(x, y) \rightarrow P^(\prime)(x+a, y+b)`

Let us determine the translation from A to A'

`A(-3,2)\rightarrow A^(\prime)(-3+a, 2+b)\rightarrow A'(2,5)`

Thus, we have,

`\begin{aligned}-3+a &=2 \\a &=5\end{aligned}` and
`\begin{array}{r}2+b=5 \\b=3\end{array}`

Thus, the rule is given by

`(x, y) \rightarrow(x+5, y+3)`

Therefore, Option B is the correct answer.