Question

A triangle has vertices of (1,5), (2, 2), and (6,3). What are the vertices of the image created by applying the transition

(x,y) = (x+5.y-4)
A (-5.1), 64,-2), (0.-1)
B. (-3, -1),(-2,-4), (2-3)
C. (5, -1), (6,4), (10, -3)
D. (7. 1), (8, -2), (12.-1)

Answer 1

Option D. (7. 1), (8, -2), (12.-1)

Explanation:

The correct question is

The rule of the translation is (x,y) -----> (x+6.y-4) instead of (x,y) -----> (x+5.y-4)

we know that

The rule of the translation is

(x,y) -----> (x+6.y-4)

That means ----> The translation is 6 units at right and 4 units down

Applying the rule of the translation to the vertices of triangle

(1,5) -----> (1+6.5-4)

1,5) -----> (7.1)

(2,2) -----> (2+6.2-4)

(2,2) -----> (8.-2)

(6,3) -----> (6+6.3-4)

(6,3) -----> (12.-1)

therefore

The vertices of the image are

(7.1),(8.-2),(12.-1)