What is the new point after rotating the point (3,-5) 180 degrees clockwise?
To find the new point after rotating (3, -5) 180 degrees clockwise, we can use the following formula:
(x', y') = (-x, -y)
Using this formula, we can substitute the values of x and y from the given point:
(-x, -y) = (-3, 5)
Therefore, the new point after rotating (3, -5) 180 degrees clockwise is (-3, 5).
If a segment has endpoints (0,4) and (3,4), how long will the segment be after it is rotated 270 degrees clockwise?
To find the length of the segment after it is rotated 270 degrees clockwise, we can simply calculate the distance between the two endpoints.
The formula to find the distance between two points (x1, y1) and (x2, y2) is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we substitute the values of the endpoints:
d = sqrt((3 - 0)^2 + (4 - 4)^2)
= sqrt(3^2 + 0)
= sqrt(9)
= 3
Therefore, the length of the segment after it is rotated 270 degrees clockwise is 3.
A square with sides 6 units in length is reflected across the x-axis. How long are the sides in the reflected figure?
When a figure is reflected across the x-axis, the y-coordinates of all its points are multiplied by -1. The x-coordinates remain the same.
Since the square has sides of length 6 units, after reflecting across the x-axis, the x-coordinates will remain the same, while the y-coordinates will be multiplied by -1.
Therefore, the length of the sides in the reflected figure will still be 6 units.
A triangle with an area of 25 square units is rotated 180 degrees clockwise. What is the area of the rotated figure?
100% tysm that was the practice
When a figure is rotated 180 degrees clockwise, the area of the figure remains the same. Therefore, the area of the rotated figure will still be 25 square units.
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1. Demonstrating the properties of rotations, if a line segment with endpoints (0,-3) and (0,-7) is rotated 90 degrees clockwise, what is an endpoint of this rotated segment?
2. Rotate a point on a line at (-4,6) 180 degrees counterclockwise. What is the resulting point?
3. 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?
A. there is not enough information to tell.
B. the reflected figure has a clockwise orientation.
C. the orientation could be clockwise or counterclockwise depending on how you do the reflection.
D. the reflected figure has a counterclockwise orientation.
4. 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?
5. Which transformation(s) will result in a figure that has the same orientation as the original figure?