Question

Triangle XYZ with vertices X(4, -1), Y(8,-2), and Z(1, -8) is rotated 180° about the origin. What is the y-coordinate of Z'?Type your answer...

Answer 1

A shopkeeper sold a camera for Rs. 2570 and made a loss of Rs. 180.At what price did he purchase the camera ?

Answer 2

the y-coordinate of Z' = 8

Step-by-step explanation:

When we rotate a point (x, y) about the origin, the coordinates become (-x, -y).

It means the opposite of the coorinates of the previous vertices.

Triangle XYZ vertices:

X(4, -1), Y(8,-2), and Z(1, -8)

A rotation of 180 egrees about the origin becomes:

X' (-4, 1)

Y' (-8, 2)

Z (-1, 8)

Because the coordinates are (x, y) and Z' is (-1, 8), the y-coordinate of Z' is 8.