Prove that the line segment obtianed by ...

Prove that the line segment obtianed by joining the midpoints of two transversed sides of a trapezium is parallel to the parallel sides of the trapezium.

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Prove that the line segment joining the mid-point of two transverse sides of a trapezium is parallel to its parallel sides.

Prove that the line segment joining the mid-points of the lateral sides of any trapezium is parallel to any of its parallel sides.

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.

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.

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.

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 that the line segment obtained by joining the points (1,2) and (-2,-4) passes through the origin.

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.

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

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.

CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.1

If two or more than two triangles be equiangular and the ratios of the...
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If the shapes and sizes of two or more than two triangles be the same,...
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A straight line parallel to any side of any triangle divides other two...
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PQRS is a trapezium of which PS||QR. Its two diagonals PR and QS inter...
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In DeltaABC a straight line parallel to BC intersects the sides AB and...
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The line segments AB and PQ intersect each other at the point C. AP an...
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In DeltaPQR, /QPR=90^(@) and PDbotQR. If PR=8cm and PQ=6cm, then find ...
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In trapezium PQRS, PQ||SR. If PQ=6cm, SR=9cm and QS=15cm and the point...
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In trapezium PQRS, PQ||SR. If PQ=4 units , SR=6units . If the diagona...
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In DeltaPQR, A and B are two such points on PQ and PR respectively tha...
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In the right-angled triangle ABC, /B=90^(@) and the points D and E are...
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PSis perpendicular on the hypotenuse QR of the right-angled triangle P...
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In DeltaPQR, D and E are two such points on the sides PQ and PR that D...
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In DeltaABC, the bisector of /ABC intersects AC at the point P. Prove ...
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In trapezium ABCD, AB and DC are parallel. A straight line parallel to...
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D is any point on the side BC of the DeltaABC. P and Q are the centroi...
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Prove that the line segment obtianed by joining the midpoints of two t...
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In DeltaABC, the bisector AD of /BAC intersects BC at D. Prove that t...
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Write the following sentences true or false: Square and rhombuses are ...
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AB=6.4cm. It is divided internally and externally at the points P and ...
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