Which of the following transformations carry the given regular polygon onto itself ?

ANSWER

Dilation

EXPLANATION

The given regular polygon is an equilateral triangle.

If we dilate this polygon about the origin with a scale factor of 1.

The image triangle will coincide with the preimage.

Therefore the transformation that will carry the given regular polygon on to itself is dilation.

The correct choice is C.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: