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In the following figures, the sides AB a...

In the following figures, the sides AB and BC and the median AD of triangle ABC are respectively equal to the sides PQ and QR and median PS of the triangle PQR. Prove that `Delta ABC and Delta PQR` are congruent.

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ICSE-TRIANGLES -EXERCISE 9(B)
  1. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

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  2. In the following diagrams, ABCD is a square and APB is an equilateral ...

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  3. In the figure, given below, triangle ABC is right-angled at B. ABPQ an...

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  4. In a Delta ABC, BD is the median to the side AC, BD is produced to E s...

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  5. In the adjoining figure, QX and RX are the bisectors of the angles Q a...

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  6. In the parallelogram ABCD, the angles A and C are obtuse. Points X and...

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  7. ABCD is a parallelogram. The sides AB and AD are produced to E and F r...

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  8. In the following figures, the sides AB and BC and the median AD of tri...

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  9. In the following diagram, AP and BQ are equal and parallel to each oth...

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  10. In the following figure, OA = OC and AB = BC. Prove that : (i) angle...

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  11. The following figure shows a triangle ABC in which AB = AC. M is a poi...

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  12. In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is p...

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  13. PQRS is a parallelogram. L and M are points on PQ and SR respectively ...

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  14. In the following figure, ABC is an equilateral triangle in which QP is...

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  15. In the following figure, angle A = angle C and AB = BC. Prove tha...

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  16. AD and BC are equal perpendiculars to a line segment AB. If AD and BC ...

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  17. In Delta ABC, AB = AC and the bisectors of angles B and C intersect at...

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  18. In the following figure, AB = EF, BC = DE and angle B = angle E = 90^(...

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  19. A point O is taken inside a rhombus ABCD such that its distances from ...

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  20. In quadrilateral ABCD, AD = BC and BD = CA. Prove that : (i) angle A...

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