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Using Theorem 6.1, prove that a line dra...

Using Theorem 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).

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

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Prove that line segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides.

prove by using the principle of similar triangles that: if a line segment divides two sides of a triangle proportionally, then it is a parallel to the third side.

prove by using the principle of similar triangles that: the line segment drawn parallel to the side of a triangle divides the other sides proportionally.

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

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  2. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

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  3. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

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  4. Using Theorem 6.2, prove that the line joining the mid-points of any t...

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  5. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

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  6. The diagonals of a quadrilateral ABCD intersect each other at the poin...

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  7. State which pairs of triangles in Fig. are similar. Write the similari...

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  8. State which pairs of triangles in Fig. are similar. Write the similari...

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  9. State which pairs of triangles in Fig.are similar. Write the similarit...

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  10. State which pairs of triangles in Fig.are similar. Write the similarit...

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  11. State which pairs of triangles in Fig.are similar. Write the similarit...

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  12. State which pairs of triangles in are similar. Write the similarity cr...

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  13. In Fig. 6.35, triangleODC~triangleOBA,angleBOC=125^@ and angle CDO=70^...

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  14. Diagonals AC and BD of a trapezium ABCD with AB||DC intérsect each oth...

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  15. In Fig. 6.36, (QR)/(QS)=(QT)/(PR) and angle 1=angle 2.Show that triang...

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  16. S and T are points on sides PR and QR of triangle PQR such that angleP...

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  17. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

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  18. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

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  19. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

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  20. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

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