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Prove that line segment joining mid poin...

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

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

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 that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side (Using basic proportionality theorem).

prove that the line segment joining the midpoints of two opposite sides of a parallelogram divides the parallelogram into two parallelograms with equal area.

Using therem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in class IX).

Prove that the line segment obtained by joining the midpoints of the diagonals of a trapezium is parallel to the parallel sides of the trapezium.

Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

Prove that the line segment joining the centres of two intersecting circles subtends equal angles at the two points of intersection.

KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. Find the equation of line which makes a triangle with area (50)/( sqr...

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  2. A ray of light passing through the point (1,2) reflects on the X -axis...

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  3. Prove that line segment joining mid points of the two sides of the tri...

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  4. The Fahrenheit remperature F and absolute temperature K satisfy a line...

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  5. L : 3x + 2y-7 =0 (1) Reduce the above equation in slope intercept fr...

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  6. Find points on line x + y + 3 = 0 whose distance from line x+2y+2=0 is...

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  7. Length of perpendicular from origin to the line (x)/(a) + (y)/( b) = 1...

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  8. Find perpendicular distance from point (3,-1) to the line 12 x -5y-7=0...

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  9. If two sides of the quadrilateral are along the lines x+2y+3=0 and x+2...

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  10. Find equation of parallel line to line 2x+3y+11=0 and whose sum of int...

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  11. Find equation of line at the distance 3 from origin and perpendicular ...

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  12. Find equation of line whose y- intercept is (4)/(3) and perpendicular ...

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  13. Prove that lines 3x + y + 4 = 0, 3x + 4y = 20 and 24x - 7y + 5 = 0 are...

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  14. One side and are vertex of the equilateral triangle is 2x+2y-5=0 and (...

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  15. Find equation of lines which bisects the quadrents.

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  16. Prove that the product of the lengths of the perpendiculars drawn from...

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  17. Find equation of line passes from middle of two parallel lines 9x + 6y...

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  18. Find length of perpendicular from origin to the lines passes from poin...

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  19. Find foot of perpendicular from point (2,3) on the line x+y+1=0.

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  20. Find the equation at line passes from point of intersection at lines x...

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