To rotate a point 180° counterclockwise, we can simply change the sign of both the x-coordinate and the y-coordinate of the point.
The given point is (-4, 6).
To rotate it 180° counterclockwise, we change the sign of both coordinates:
-4 becomes 4, and
6 becomes -6.
Therefore, the resulting point after rotating (-4, 6) 180° counterclockwise is (4, -6).
Rotate a point on a line at (−4, 6) 180° counterclockwise. What is the resulting point?
9 answers
Jack discovers that the orientation of a triangle is counterclockwise. He then reflects the triangle over the y -axis. What is the orientation of the reflected figure?
When a figure is reflected over the y-axis, the orientation of the figure remains the same. Since the original triangle was counterclockwise, the orientation of the reflected triangle will also be counterclockwise.
Jack discovers that the orientation of a triangle is counterclockwise. He then reflects the triangle over the y-axis. What is the orientation of the reflected figure?
There is not enough information to tell.
The reflected figure has a counterclockwise orientation.
The reflected figure has a clockwise orientation.
The orientation could be clockwise or counterclockwise depending on how you do the reflection.
There is not enough information to tell.
The reflected figure has a counterclockwise orientation.
The reflected figure has a clockwise orientation.
The orientation could be clockwise or counterclockwise depending on how you do the reflection.
The correct answer is: The orientation could be clockwise or counterclockwise depending on how you do the reflection.
If a triangle with vertices (4, 3) , (8, 3) , and (7, 5) is translated to the right 4 units and down 2 units, what are the vertices of the translated figure?
To translate a figure, we add the same amount to the x-coordinate and y-coordinate of each vertex.
The given triangle has vertices at (4, 3), (8, 3), and (7, 5).
To translate the triangle to the right 4 units and down 2 units, we add 4 to each x-coordinate and subtract 2 from each y-coordinate:
(4, 3) + (4, -2) = (8, 1)
(8, 3) + (4, -2) = (12, 1)
(7, 5) + (4, -2) = (11, 3)
Therefore, the vertices of the translated triangle are (8, 1), (12, 1), and (11, 3).
The given triangle has vertices at (4, 3), (8, 3), and (7, 5).
To translate the triangle to the right 4 units and down 2 units, we add 4 to each x-coordinate and subtract 2 from each y-coordinate:
(4, 3) + (4, -2) = (8, 1)
(8, 3) + (4, -2) = (12, 1)
(7, 5) + (4, -2) = (11, 3)
Therefore, the vertices of the translated triangle are (8, 1), (12, 1), and (11, 3).
Which transformation(s) will result in a figure that has the same orientation as the original figure?
translation only
translation, rotation, and reflection
reflection only
translation and rotation
translation only
translation, rotation, and reflection
reflection only
translation and rotation
The transformation that will result in a figure with the same orientation as the original figure is translation only.
1 answer