A line contains the points (2,5) and (4,7). Translate this line up 4 units and to the left 4 units. What are the points after the translation?
To translate a line up 4 units, you need to add 4 to the y-coordinates of both points. To translate a line to the left 4 units, you need to subtract 4 from the x-coordinates of both points.
Original points: (2,5) and (4,7)
Translation up 4 units: (2,5+4) and (4,7+4) = (2,9) and (4,11)
Translation left 4 units: (2-4,9) and (4-4,11) = (-2,9) and (0,11)
The points after the translation are (-2,9) and (0,11).
To translate a point up by a certain amount, we add that amount to the y-coordinate. To translate a point to the left by a certain amount, we subtract that amount from the x-coordinate.
The translation up 4 units would change the y-coordinate of each point from (2,5) to (2, 5+4) = (2, 9) and from (4,7) to (4, 7+4) = (4,11).
The translation to the left 4 units would change the x-coordinate of each point from (2,9) to (2-4, 9) = (-2,9) and from (4,11) to (4-4,11) = (0,11).
Therefore, the points after the translation are (-2,9) and (0,11).
Which of the following describes a rotation of 360°
counterclockwise?(1 point)
Responses
A 360°
counterclockwise rotation cannot be done.
A 360 degrees counterclockwise rotation cannot be done.
The figure will be back where it started.
The figure will be back where it started.
The figure will be upside down.
The figure will be upside down.
The figure will be in the same quadrant but facing the opposite way.