Question

Triangle ABC has vertices at AC-3, 4), B(4, -2), C(8.3). The triangle is translated 4 units down and 3 units left. Which rule

represents the translation. After the translation, what are the coordinates of vertex C?
(X,Y)= (x + 3. y + 4); (11,7)
B)
(x,y) - X - 4, y + 3): -6,7)
(XY) - (x - 3. y - 4); (5.-1)
(X,Y) -
-2,- 1)

Answer 1

Part a) The rule of the translation is (x,y) -----> (x-3,y-4)

Part b) The coordinates of vertex C after translation is (5,-1)

Explanation:

Part a) Which rule represents the translation

we know that

The triangle is translated 4 units down ----> That means that the new y-coordinate is equal to the original y-coordinate minus 4

The triangle is translated 3 units left ----> That means that the new x-coordinate is equal to the original x-coordinate minus 3

so

The rule of the translation is

(x,y) -----> (x-3,y-4)

Part b) Find the coordinates of vertex after translation

Applying the rule of the translation to vertex C

C(8.3) -----> C'(8-3,3-4)

C(8.3) -----> C'(5,-1)