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The midpoint of a segment is the average of its endpoints, taken coordinate by coordinate. The distance between them comes from the Pythagorean theorem applied to the horizontal and vertical gaps. Worked examples: midpoint and distance on a number line Practice questions on midpoint and distance Find the midpoint between the numbers (2) and (8) […]
To construct a triangle from three given sides, draw one side as a base, then swing an arc from each endpoint with the other two lengths. Where the arcs cross is the third vertex, provided the three lengths satisfy the triangle inequality. A straightedge or ruler. A compass. A pencil. Worked examples: constructing a triangle […]
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