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prove by using the principle of similar ...

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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prove by using the principle of similar triangles that: the diagonals of of a parallelogram bisects each other.

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 centroid of triangle divides a median in the ratio of 2:1 .

prove by using the principle of similar triangles that: in a right angle triangle, the square on the hypotenuse is equal to the sum of squares on the two other sides. (Pythagoras theorem)

Prove that the line segment joining the middle point of two sides of a triangle is parallel to the third side.

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KALYANI PUBLICATION-similarity of geometric figures-EXERCISE
  1. prove that two isosceles triangles are similar if their vertical angle...

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  2. the altitude AM and BN of a triangle ABC intersects at P. prove that t...

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  3. D is the point on the side BC of ABC such that angleADC = angleBAC. Pr...

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  4. ABC and DBC are two right angled triangles with common hypotenuse BC w...

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  5. the two triangles formed by drawing perpendicular from right angle to...

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  6. prove by using the principle of similar triangles that: the line seg...

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  7. prove by using the principle of similar triangles that: if a line se...

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  8. prove by using the principle of similar triangles that: the centroid...

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  9. prove by using the principle of similar triangles that: the diagonal...

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  10. find the lengths of diagonals of a rhombus AC and BD .given AB=60 cm ...

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  11. prove by using the principle of similar triangles that: in a right a...

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  12. ABCD is a parallelogram. E is the middle point of the side CD. BE inte...

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  13. in ABC, AB=4cm, BC=5cm and AC=6cm. construct a triangle similar to ABC...

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  14. In ABC, AB=3cm BC=4cm and CA=5cm, construct a triangle similar to ABC...

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  15. ABCD is a parallelogram. E is any point on the side BC, line segment d...

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  16. AB and BD are two parallel sides of trapezium ABCD. if the diagonals A...

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  17. AB and CD two parallel sides of trapezium ABCD where AB=2 CD. AC and B...

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