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3 years ago

8

Triangle XYZ has coordinates X(2, 4), Y(−3, 4), and Z(−3, 1). If the triangle is translated using the rule (x, y) → (x − 2, y +

1), what are the coordinates of Y'?
Y'(–5, 5)
Y'(0, 5)
Y'(–5, 2)
Y'(–1, 3

2 answers:

Crank3 years ago

7 0

<span>Y(−3, 4) is the original

</span><span>(x, y) → (x − 2, y + 1) is the rule you're using

(-3, 4) </span>→ (-3 - 2, 4 + 1)

(-3, 4) → (-5, 5)

<span>Y'(–5, 5)</span>

Marrrta [24]3 years ago

6 0

Answer: The correct option is (A) Y'(-5, 5).

Step-by-step explanation: Given that the triangle XYZ has coordinates X(2, 4), Y(−3, 4), and Z(−3, 1). The triangle is translated using the following rule :

(x, y) → (x − 2, y + 1).

We are to find the co-ordinates of Y'.

The co-ordinates of Y' can be found out by substituting (x, y) = (-3, 4) in the given transformation rule.

Therefore, the co-ordinates of Y' are given by

(-3, 4) → (-3 − 2, 4 + 1) = (-5, 5).

Thus, the co-ordinates of Y' are (-5, 5).

Option (A) is CORRECT.

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