Triangle STU below is translated right 2 units and 3 units down. What are the coordinates of the vertices of the image?
A coordinate grid with triangle S T U drawn on the grid is shown.The x-axis is between negative 12 and 4 with interval marks representing one unit, and the y-axis is between negative 4 and 14 with interval marks representing one unit. Triangle S T U is drawn in red with vertex S at left-parenthesis negative 6 comma 10 right-parenthesis, vertex T at left-parenthesis negative 9 comma 3 right-parenthesis, and vertex U at left-parenthesis negative 3 comma 3 right-parenthesis.
A. S’(−9, 12), T’(−12, 5), U’(−6, 5)
B. S’(−4, 7), T’(−7, 0), U’(−1, 0)
C. S’(−8, 13), T’(−11, 6), U’(−5, 6
D. S’(−4, 10), T’(−7, 3), U’(−1, 3)
To translate right 2 units, we need to add 2 to the x-coordinate of each vertex. To translate 3 units down, we need to subtract 3 from the y-coordinate of each vertex.
Vertex S:
- Original coordinates: (-6, 10)
- Translated right 2 units and down 3 units: (-6+2, 10-3)
- New coordinates: (-4, 7)
Vertex T:
- Original coordinates: (-9, 3)
- Translated right 2 units and down 3 units: (-9+2, 3-3)
- New coordinates: (-7, 0)
Vertex U:
- Original coordinates: (-3, 3)
- Translated right 2 units and down 3 units: (-3+2, 3-3)
- New coordinates: (-1, 0)
Therefore, the coordinates of the vertices of the image are:
S’(-4, 7), T’(-7, 0), U’(-1, 0)
The answer is (B).