Mathematics
Grade9
Easy
Question
Quadrilateral ABCD with vertices A (1, 4), B (0, 1), C (3, 1), and D (4, 4). Find the image of each vertex after the translation. (x, y) → (x + 3, y + 1).
- A’ (4, 5), B’ (3, 2), C’ (6, 2), D’ (7, 5)
- A’ (4, -5), B’ (-3, 2), C’ (6, 2), D’ (7, 5)
- A’ (4, 5), B’ (3, 2), C’ (6, -2), D’ (-7, 5)
- A’ (4, 5), B’ (-3, 2), C’ (6, 2), D’ (7, 5)
Hint:
The correct answer is: A’ (4, 5), B’ (3, 2), C’ (6, 2), D’ (7, 5)
Given vertices of the Quadrilateral ABCD is A (1, 4), B (0, 1), C (3, 1), and D (4, 4).
To find the image of each vertex after performing the given translation (x, y) → (x + 3, y + 1).
Given: (x, y) → (x + 3, y + 1).
The image of point A (1, 4) will be A’ (4, 5)
The image of point B (0,1) will be B’ (3, 2)
The image of point C (3, 1) will be C’ (6, 2)
The image of point D (4, 4) will be D’ (7, 5)
Images of each vertex of quadrilateral:
A’ (4, 5), B’ (3, 2), C’ (6, 2), D’ (7, 5)
The image of each vertex after performing the given translation (x, y) → (x + 3, y + 1) is A’ (4, 5), B’ (3, 2), C’ (6, 2), D’ (7, 5).