Question

12. In the diagram below, the coordinates of point E is (1, -3) and the coordinates of point F is (7, 5). Line EF intersects the y-axis at point D and intersects line GH at point H respectively. a. Given that point M is the midpoint of the line joining points E and F, determine the coordinates of point M. b. Given that the gradient of GH is -1/9 and the origin is the midpoint of the line joining points D and G, determine the coordinates of point H.

          12. In the diagram below, the coordinates of point E is (1, -3) and the coordinates of point F is (7, 5). Line EF intersects the y-axis at point D and intersects line GH at point H respectively.
a. Given that point M is the midpoint of the line joining points E and F, determine the coordinates of point M.
b. Given that the gradient of GH is -1/9 and the origin is the midpoint of the line joining points D and G, determine the coordinates of point H.

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12. In the diagram below, the coordinates of point E is (1, -3) and the coordinates of point F is (7, 5). Line EF intersects the y-axis at point D and intersects line GH at point H respectively.
a. Given that point M is the midpoint of the line joining points E and F, determine the coordinates of point M.
b. Given that the gradient of GH is -1/9 and the origin is the midpoint of the line joining points D and G, determine the coordinates of point H.

Added by Wendy H.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Supreeta N

05/18/2023

Step 1

The midpoint formula is given by \(M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)\), where \(x_1, y_1\) and \(x_2, y_2\) are the coordinates of points E and F, respectively. Substituting the given coordinates of E (1, -3) and F (7, 5) into the Show more…

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