Question

i can describe the changes to the x - and y - coordinates of a figure after either dilation, translation, rotation or reflection. (8.g.a.1) 5. point a is located at coordinates (4, 3). a. rotate point a 180° using (0, 0) as the center of rotation. plot and label your point b. what is the coordinate of point b?

Explanation:

Step1: Recall rotation rule

The rule for rotating a point (x, y) 180 - degrees about the origin (0, 0) is (x,y)→(−x,−y).

Step2: Apply rule to point A

Point A has coordinates (4, 3). Using the 180 - degree rotation rule about the origin, we change the sign of both the x - coordinate and the y - coordinate. So, x = 4 becomes - 4 and y = 3 becomes - 3.

Answer:

The coordinates of point B (the image of point A after a 180 - degree rotation about the origin) are (-4,-3).