What kind of transformation is shown below? Explain how you knew which type of transformation it was.
2 answers:
Answer: The kind of transformation is REFLECTION.
Step-by-step explanation: We are given to find the kind of transformation that is shown in the figure.
Let us draw a line AB exactly between the original and its image as shown in the attached figure.
If the line AB acts as a mirror, then we see that the original image is reflected to form the image.
Therefore, the transformation shown in the figure is REFLECTION across the line AB.
Thus, the required transformation is REFLECTION.
You might be interested in
The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
Plugging in points A and B into distance formula, then setting them equal to each other gives:
Right away we can cancel out the x terms leaving:
Expand Left side and Solve for y:
Plug in points B and C as before:
Here we can cancel the y-terms.
Expand and solve for x:
Therefore the center of the circle is the point (6,3)
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
Plugging in points A and B into distance formula, then setting them equal to each other gives:
Right away we can cancel out the x terms leaving:
Expand Left side and Solve for y:
Plug in points B and C as before:
Here we can cancel the y-terms.
Expand and solve for x:
Therefore the center of the circle is the point (6,3)