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…

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asked Feb 3, 2021 139k views

2 Answers

Grim Fandango · Answer 1 · 2021-02-09T02:25:37+0000

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.