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This chapter uses coordinates to describe points and lines in two dimensions. When you have completed it, you should be able to find the distance between two points find the mid-point of a line segment, given the coordinates of its end points find the gradient of a line segment, given the coordinates of its end points
Section 1-5: Postulates and Theorems Relating Points, Lines, and Planes Recall that we have accepted, without proof, the following four basic assumptions. These postulates deal with segments, lengths, angles, and measures.
G-CO.1.1 - Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Distance from a point to a line. To nd the distance of a point P to a line l we always distance from the point to the line. What does "perpendicular" we draw a line through the point P that intersects our line say, the distance from P to Q, PQ, is the "perpendicular" to l.
1 Points and Distances. 1. Draw a number line, and plot and label these numbers: 0, 1, 6, 2 2. Plot the following points: (A)(3,1) (B)(2,5) (C)(-1,1) (D)(2,-4) (E)(-3,-3) (F)(0,4) (G)(-2,0) (H)(0,0) 3. Find the distance between: (i)Point B and point C. (ii)Point F and point G. (iii)Point C and point E. (iv)Point A and point G. 4.
Ruler Postulate – The points on a line can be paired with the real numbers such that: a. any point can be paired with zero b. the distance between any two points is equal to the absolute value of the difference of the numbers paired with those points. All the Ruler Postulate states is that if you have a line, you can pick any
b. the distance between any two points is equal to the absolute value of the difference of the numbers paired with those points. All the Ruler Postulate states is that if you have a line, you can pick any point on that line and call the coordinate 0. And the distance between any
