What are the coordinates of point C′ if C(−4, −2)
is rotated 180° clockwise around the origin.
c'=
To rotate a point 180° clockwise around the origin, we need to change the signs of both the x and y coordinates.
Given that point C is (-4, -2), the coordinates of C' after rotating 180° clockwise would be (4, 2).
Find A′ and B′ if A(−2, −6) and B(−3, 6) are reflected over the y-axis.
A'=
B'=
To reflect a point over the y-axis, we need to change the sign of the x-coordinate while keeping the y-coordinate unchanged.
Given that point A is (-2, -6), the coordinates of A' after reflecting over the y-axis would be (2, -6).
Similarly, given that point B is (-3, 6), the coordinates of B' after reflecting over the y-axis would be (3, 6).