# Euclidean Geometry - Demonstration Exercise

Discussion in 'Geometry and Trigonometry' started by Samuel Gomes, May 15, 2022.

1. ### Samuel Gomes

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May 15, 2022
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(a) Let be m a line and the only two semiplans determined by m.

(i) Show that: If are points that do not belong to such , so and are in opposite sides of m.

(ii) In the same conditions of the last item, show: and .

(iii) Determine the union result , carefully justifying your answer.

(b) Let be and 4 distincts points in a line such and . Show and .

(c) Let be distincts points in a line m such . Under these conditions, show 2 distinct segments such the Union of both segments be equal to , carefully justifying your answer.

Thanks for the help ^^

Samuel Gomes, May 15, 2022