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Prove that the line joining the mid-poin...

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

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Using Theorem 6.2, prove that the line joining the mid-point of any two sides of a triangle is parallel to the third side. (Recall that you have done it in class IX).

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

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

The line segment joining the mid-points of any two sides of a triangle in parallel to the third side and equal to half of it.

Prove analytically that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segments joining the mid-points of the sides of a triangle from four triangles, each of which is similar to the original triangle.

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Show that the diagonals of a rhombus bisect each other at right ang...

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  2. Using the concept of slope, prove that medians of an equilateral tr...

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  3. Prove that the line joining the mid-points of the two sides of a tr...

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  4. Find the equation of the following lines : (i) parallel to X-axis an...

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  5. Find the equation of a line which pasess through the point (1,-1) and ...

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  6. Find the equation of line passing through the point (2,6) and perpendi...

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  7. Find the equation of a line passing through the point (1,-2) and whose...

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  8. Find the equation of a line passing through the point (-2,0) and makes...

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  9. Find the equation of a line passing through the point (0,-2) and makes...

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  10. (i)Find the equation of a line passing through origin and makes an an...

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  11. (i) Find the equation of line passing through (2,2) and makes an angle...

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  12. Find the equation of the line passing through the following points : ...

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  13. (i) Find the equation of a line passing through the points (a,b) and (...

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  14. If the point (p,q) lies on the line joining the points (-4,5) and (-5,...

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  15. Find the equation of the medians of DeltaABC whose vertices are A(1,0)...

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  16. The vertices of DeltaABC are A(-3,2), B(0,3) and C(1,0). Find the equa...

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  17. Find the equation of the perpendicular bisector of the line segment jo...

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  18. Show that the points (0,3), (-2,-2) and (2,8) are collinear. Also find...

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  19. Find the equation of a line whose (i) Slope =-1 and Y- intercept =3....

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  20. Find the equation of a line which intersects Y-axis at a distance of 4...

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