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Show that the straight line joining the mid - points of two sides of a triangle is equal to half the third side .

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Using vector method show that the line joining the middle points of two sides of a triangle is parallel and half of the third side.

Using the properties of vectors, prove that the straight line, obtained by joining the mid-poings of two sides of a triangle , is half of the length of third side.

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

Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. (Using converse of basic proportionality theorem)

Using vectors , prove that the line joining the midpoints of two sides of a triangle, is parallel to the base and half its length.

By vector method prove that the straight line joining the midpoints of two non-parallel sides of a trapezium is parallel to the parllel sides and half of their sum.

By vector method prove that the straight line joining the mid-points of the diagonals of a trapezium is parallel ot the parallel sides and half of their difference.

Prove by the theorem of Thales that the third side of a triangle is parallel to the line segment obtained by joining the mid-points of any two sides of the triangle and is half in length of its third side.

Using vector properties, show that, a straight line obtained by joining the mid-points of the oblique sides of a trapezium is parallel to the parallel sides of the trapezium and is equal to half of the sum of lengths of the parallel sides.

Prove by vector method that the line segment joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides and equal to half of their difference.

CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Long Type Questions )
  1. The points P,Q,R are collinear , if the coordinates of P and Q be (3,4...

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  2. The coordinates of the points A,B,C D are respectively (6,3) , (-3,5) ...

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  3. The coordinates of the points A,B,C and D are (-2,3), (8,9), (0,4) and...

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  4. The coordinates of the points A and B are (3,4) and (5,-2) respective...

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  5. The area of a quadrilateral is 28 square unit. If the coordinates of i...

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  6. If x(1),x(2),x(3) as well as y(1),y(2),y(3) are in G.P. with the sa...

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  7. Shift the origin to a suitable point so that the equation 2x^(2)-4x+3y...

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  8. Find the point to which the origin should be shifted so that the equat...

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  9. Show that the distance between two points remains unaltered by the tra...

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  10. Reduce the equation x+y+5=0 andx-2y+2=0 to the form ax+by =0 by prope...

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  11. Choose a new origin (h,k) (retaining the directions of axes) so that t...

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  12. Find the distance between the point (1+sqrt2,1-sqrt2) and (0,0)

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  13. Show that the straight line joining the mid - points of two sides of a...

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  14. Show that the straight lines joining the mid - points of the opposite ...

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  15. Prove analytically that the area of a triangle is four times that of t...

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  16. Using analytical method prove that the mid - point of the hypotenuse o...

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  17. If two medians of a triangle are equal , prove analytically that the t...

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  18. Using coordinate geometry prove that an isosceles traigle has two equa...

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  19. D,E,F are the mid - points of the sides overline(BC),overline(CA)andov...

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  20. ABC is a right angled triangle right angled at B. If P and Q are the m...

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