What are the coordinate points of A' (1, 8) if A undergoes a rotation of:
90° clockwise
180° clockwise
270° clockwise
To find the coordinate points of A' after a rotation, we can use the rotation rules.
1. 90° clockwise rotation:
To rotate a point 90° clockwise, we swap the x and y coordinates, then negate the new x coordinate.
For point A (1, 8), we swap the x and y coordinates to get (8, 1), then negate the new x coordinate to get (-8, 1). Therefore, the coordinate points of A' after a 90° clockwise rotation are (-8, 1).
2. 180° clockwise rotation:
To rotate a point 180° clockwise, we negate both the x and y coordinates.
For point A (1, 8), we negate the x coordinate to get (-1, 8) and negate the y coordinate to get (-1, -8). Therefore, the coordinate points of A' after a 180° clockwise rotation are (-1, -8).
3. 270° clockwise rotation:
To rotate a point 270° clockwise, we swap the x and y coordinates, then negate the new y coordinate.
For point A (1, 8), we swap the x and y coordinates to get (8, 1), then negate the new y coordinate to get (8, -1). Therefore, the coordinate points of A' after a 270° clockwise rotation are (8, -1).
The diameter of a circle was 18 cm and the diameter of the final circle was 54 cm. What is the scale factor?
The scale factor can be determined by dividing the diameter of the final circle by the diameter of the initial circle.
The diameter of the initial circle is 18 cm, and the diameter of the final circle is 54 cm.
Scale factor = (diameter of final circle) / (diameter of initial circle)
Scale factor = 54 cm / 18 cm
Scale factor = 3
Therefore, the scale factor is 3.