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Show that every line segment has one and...

Show that every line segment has one and only one middle point.

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A point C lies between two points A and B such that AC = BC, then AC=1/2AB . Point C is called a midpoint of line segment AB. Prove that every line segment has one and only one midpoint.

Prove that there is only one triple point.

Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisect each other.

Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

Fill ups A line segment has…………end points.

In given Fig. , DeltaABC is isosceles with AB = AC. D, E, F are the mid-points of sides BC, AC and AB respectively. Show that the line segment AD is perpendicular to the line segment EF and is bisected by it.

In given Fig. , DeltaABC is isosceles with AB = AC. D, E, F are the mid-points of sides BC, AC and AB respectively. Show that the line segment AD is perpendicular to the line segment EF and is bisected by it.

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MODERN PUBLICATION-INTRODUCTION TO EUCLID'S GEOMETRY-EXERCISE
  1. How many points can be two distinct lines intersect at the most?

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  2. How many planes can be made to pass through three distinct points?

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  3. Show that every line segment has one and only one middle point.

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  4. Define parallel lines.

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  5. Define concurrent forces and describe equilibrium of concurrent forces...

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  6. If l,m and n are three straight lines such that l||m and l||n then pro...

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  7. In the fig. if PR=QS prove that PQ=RS

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  8. A,B and C are three collinear points. How many line segment can be det...

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  9. Euclidean geometry is valid only for curved surfaces.

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  10. Write True or False and Justify Your answer The edges of a surface are...

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  11. The statements that are proved are called axioms.

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  12. Two distinct intersecting lines cannot be parallel to the same line.

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  13. If a quantity B is a part of another quantity A, then A can be written...

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  14. Fill ups A line segment has…………end points.

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  15. Fill ups Rectilinear figures are formed by……………. .

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  16. Fill ups Two lines in a plane not having any common points are called…...

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  17. Fill ups Concurrent lines……..passing through a given point.

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  18. Two distinct points in a plane determine a ............ Line.

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  19. Who out of the following presented geometry in most systematic form?

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  20. Which out of the follwong mathematician gave first known proof?

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