Coordinate Geometry and Nets Unit Test
1. In coordinate geometry, the coordinates of a point are given as (x, y), where x represents the horizontal distance from the origin and y represents the vertical distance from the origin.
2. The equation of a line in coordinate geometry is usually given in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
3. The slope of a line can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
4. The distance between two points in coordinate geometry can be calculated using the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2).
5. A net is a two-dimensional representation of a three-dimensional object that can be folded to create the solid figure.
6. To find the surface area of a three-dimensional object, you can use the formulas for the surface area of each face and add them together.
7. The volume of a three-dimensional object can be calculated by finding the area of the base and multiplying it by the height of the object.
8. In coordinate geometry, the midpoint of a line segment can be found by averaging the x-coordinates and y-coordinates of the two endpoints.
9. Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other.
10. In coordinate geometry, the x-axis is the horizontal axis, and the y-axis is the vertical axis. The origin is the point where they intersect, with coordinates (0,0).