Question

Triangle HJK has vertices H(0, -9), J(-1, -5), and K(7, 8). What are the

coordinates of the vertices after the translation (x,y) → (x-1.y-3)?
A H(-1, 12), J'(-2,8), K (6, -5) C H(-1, -12), 3(-2, -8), K°(6, 5)
B H(1.-12), J' (2, -8), K'(-6,5) D H(1, 12), J' (2,8), K(-6, -5)

Answer 1

After applying the translation rule (x, y) → (x-1, y-3) to each vertex of triangle HJK, we find the new coordinates to be H'(-1, -12), J'(-2, -8), K'(6, 5), which matches option C.

Step-by-step explanation:

The student is asking about the result of translating the vertices of triangle HJK using the translation rule (x, y) → (x-1, y-3). To perform the translation, we apply this rule to each vertex of the triangle.

• For vertex H(0, -9), after translation, it becomes H'(0-1, -9-3) which simplifies to H'(-1, -12).
• For vertex J(-1, -5), after translation, it becomes J'(-1-1, -5-3) which simplifies to J'(-2, -8).
• For vertex K(7, 8), after translation, it becomes K'(7-1, 8-3) which simplifies to K'(6, 5).

Therefore, the coordinates of the vertices after the translation are H'(-1, -12), J'(-2, -8), and K'(6, 5), which correspond to option C.