Use the image to answer the question.
A triangle and 3 points are plotted on a coordinate plane. The x and y-axes range from negative 7 to 7 in 1 unit increments.
Linda draws a triangle on the coordinate grid with vertices at (1,2)
, (3,−4)
, and (7,0)
. She translates this triangle 3 units to the left and 1 unit down. What are the coordinates of the rightmost vertex on her translated triangle?
(1 point)
(
,
)
The original coordinates of the rightmost vertex of Linda's triangle are (7, 0).
To translate the triangle 3 units to the left, we subtract 3 from the x-coordinate of the rightmost vertex:
7 - 3 = 4
To translate the triangle 1 unit down, we subtract 1 from the y-coordinate of the rightmost vertex:
0 - 1 = -1
Therefore, the coordinates of the rightmost vertex on the translated triangle are (4, -1).
To find the coordinates of the rightmost vertex on Linda's translated triangle, we need to apply the translation to the original coordinates.
The translation is 3 units to the left and 1 unit down.
Starting with the original coordinates of the rightmost vertex at (7, 0), we can apply the translation as follows:
To move 3 units to the left, we subtract 3 from the x-coordinate:
x-coordinate: 7 - 3 = 4
To move 1 unit down, we subtract 1 from the y-coordinate:
y-coordinate: 0 - 1 = -1
Therefore, the coordinates of the rightmost vertex on Linda's translated triangle are (4, -1).