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25) Name a point that is 2 away from (−1, 5). (0, 6), (0, 4), (−2, 6), or (−2, 4) 26) Name a point that is between 50 and 60 units away from (7, −2) and state the distance between the two points. Many answers. Ex: (60 , −2); 53 units-2-Create your own worksheets like this one with Infinite Geometry. Free trial available at ...
Distance Formula and Pythagorean Theorem Example: The distance between (3, 4) and (x, 7) is 5 units. Find x. Using the distance formula: (3 —x)2 + (4—7) x) 3 Solving Graphically (Pythagorean Theorem) Example: b b 3 -5 4 or -4 The length of segment AB is 20. If the coordinate of Ais (5, 1), and the coordinate of B is (-6, y), what is b?
To determine the displacement of an object, you only have to consider the change in position between the starting point and the ending point. The path followed from one point to the other does not matter.
Question 1: Calculate the perimeter of triangle ABC. Question 2: The distance between the points (1, 2) and (16, p) is 17. Find the possible values of p. Question 3: The distance between the points (−3, −4) and (q, 5) is 15. Find the possible values of q.
Use the Distance Formula Use the Midpoint Formula. Examples: Find the distance between the points (-3,7) and (4,10). Determine whether the triangle formed by points A=(-2,2), B=(2,-1), and C=(5,4) is a right triangle. Find the midpoint of the line segment joining the points P1=(6,-3) and P2=(4,2). Teaching Notes:
2-1 Position, Displacement, and Distance In describing an object’s motion, we should first talk about position – where is the object? A position is a vector because it has both a magnitude and a direction: it is some distance from a
position. If the commands attack helicopter is located 1 mile east and 3 miles north of the center. What is the shortest distance the helicopter can travel to get to the enemy patrol?
