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The distance between the points (−3, −4) and (q, 5) is 15. Find the possible values of q. 8. The point C has coordinates ( − 5, 4) The point D has coordinates (6, 1) The point E has coordinates (9, − 13) The midpoint of CE is H The midpoint of DE is I. Work out the distance between the points H and I.
28 sie 2019 · The Corbettmaths Practice Questions on working out the distance between two points.
Use the Distance Formula 2. Use the Midpoint Formula. Examples: 1. Find the distance between the points (-3,7) and (4,10). 2. Determine whether the triangle formed by points A=(-2,2), B=(2,-1), and C=(5,4) is a right triangle. 3. Find the midpoint of the line segment joining the points P1=(6,-3) and P2=(4,2).
Solve the following word problems using the midpoint formula, the distance formula, or both. On a map’s coordinate grid, Walt City is located at ( 1> 3) and Koshville is located at (4> 9).
Using the Distance Formula You can use the Distance Formula to fi nd the distance between two points in a coordinate plane. The Distance Formula is related to the Pythagorean Theorem, which you will see again when you work with right triangles in a future course. Distance Formula (AB)2 = (x 2 − x 1)2 + (y 2 − y 1)2 Pythagorean Theorem c2 ...
Problems. Problem 1: Find the distance between the points (2, 3) and (0, 6). Problem 2: Find the distance between point (-1, -3) and the midpoint of the line segment joining (2, 4) and (4, 6). Problem 3: Find x so that the distance between the points (-2, -3) and (-3, x) is equal to 5.
Help students to recognise the link between Pythagoras’ Theorem, distance and the co-ordinate geometry formula for distance. Distibute a street map and ask students to mark a variety of locations on the map. Using these locations pose some questions about distance.
