1-(-3, 4) is reflected over the x-axis. What are the coordinates of the image?
A:(4, -3)
B:(-3, -4)
C:(3, 4)
D:(3, -4)
2- A preimage and image are congruent in a transformation.
Always
Sometimes
Never
3-An octagon has rotational symmetry. What is the angle of rotation?
A:30 degrees
B:45 degrees
C:60 degrees
D:90 degrees
4-(5, -3) is reflected over the y-axis. What are the coordinates of the image?
A:(5, 3)
B:(-5, 3)
C:(-3, 5)
D:(-5, -3)
Uhm... i dont understand
1- To find the coordinates of the image when a point is reflected over the x-axis, we need to change the sign of the y-coordinate. So, for the point (-3, 4), when reflected over the x-axis, the y-coordinate becomes -4. Therefore, the coordinates of the image are (-3, -4).
2- In a transformation, a preimage and image are congruent when they have the same size, shape, and orientation. This can happen in certain cases when performing a transformation, but it is not always true. So, the correct answer is "Sometimes".
3- An octagon has rotational symmetry if it can be rotated and still look the same. The angle of rotation is the angle at which the octagon needs to be rotated to achieve this symmetry. In the case of an octagon, it has rotational symmetry of 45 degrees. Therefore, the correct answer is B: 45 degrees.
4- To find the coordinates of the image when a point is reflected over the y-axis, we need to change the sign of the x-coordinate. So, for the point (5, -3), when reflected over the y-axis, the x-coordinate becomes -5. Therefore, the coordinates of the image are (-5, -3). So, the correct answer is D: (-5, -3).