A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?

The rotated figure appears in the 3rd quadrant

Step-by-step explanation:

To visualize a problem can sometimes be challenging.

It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.

Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.

Corner coordinates are therefore:

A =( 1, 0)

B =( 2, 0)

C =( 2, 1)

D =( 1, 1)

Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).

The new coordinates are:

A' =(-1, 0)

B' =(-2, 0)

C' =(-2 -1)

D' =(-1, -1)

These are all in third quadrant.

Therefore, the rotated figure appears in the 3rd quadrant

the answer is. -82562234434584

step-by-step explanation:

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: