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Prove that the line segment joining the ...

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.

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

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

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

Prove that the line segment joining the points of contact of two parallel tangents passes through the centre.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B and C D are two parallel chords of a circle whose diameter is A C ...

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  2. If a diameter of a circle bisects each of the two chords of a circle, ...

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  3. Prove that the line segment joining the mid points of two side of a...

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  4. Prove that the angle in a segment greater than a semi-circle is les...

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  5. Prove that the angle in a segment greater than a semi-circle is les...

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  6. A B C D is a parallelogram. If A B is produced to E such that B E=A B ...

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  7. If two sides of a cyclic quadrilateral are parallel, prove that the ...

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  8. Prove that the circle drawn with any side of a rhombus as a diameter, ...

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  9. Let the vertex of an angle ABC be located outside a circle and let t...

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  10. In any triangle ABC, if the angle bisector of /Aand perpendicular bis...

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  11. P is a point on the side B C of a triangle A B C such that A B=A Pdot ...

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  12. A B C D is a cyclic quadrilateral whose diagonals A Ca n dB D intersec...

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  13. (Converse of Theorem 3) The line joining the centre of a circle to the...

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  14. .The equation of the circle passing through three non-collinear points...

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  15. Two chords A B and A C of a circle are equal. Prove that the centre of...

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  16. If two chords A B and A C of a circle with centre O are such that the ...

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  17. If two arcs of a circle (or of congruent circles) are congruent, then ...

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  18. If two chord of a circle (or of congruent circles) are equal, then ...

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  19. The perpendicular from the centre of a circle to a chord bisects the ...

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  20. If two circles intersect in two points, prove that the line through th...

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