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vredina [299]
3 years ago
11

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r

epresents the translation? After the translation, what are the coordinates of vertex C?
A)(x, y) → ( x + 3, y + 4); (11, 7)B)(x, y) → (x − 4, y + 3); −6, 7)C)(x, y) → ( x − 3, y − 4); (5, −1)D)(x, y) → (x − 2, y − 1); (−5, 7)​
Mathematics
2 answers:
crimeas [40]3 years ago
3 0

Option C: (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as y-4

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

Thus, it can be written as x-3

Thus, the translation is given by

(x, y) \rightarrow(x-3, y-4)

The vertices of C after translation can be determined by

(8, 3) \rightarrow(8-3, 3-4)\implies (5,-1)

Thus, (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Hence, Option C is the correct answer.

Galina-37 [17]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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