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Draw /\ ABC and /\ PQR such that they ar...

Draw `/_\ ABC` and `/_\ PQR` such that they are equal in area but not congruent.

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The sides AB and BC and the median AD of triangle ABC are equal to the sides PQ and QR and the median PM of triangle PQR respectively. Prove that the triangles ABC and PQR are congruent.

RS AGGARWAL-CONGRUENCE-EXERCISE
  1. State the correspondence between the vertices, sides and angles of the...

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  2. Given below are pairs of congruent triangles. State the property of co...

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  3. In Fig. (i), PL bot OA and PM bot OB such that PL = PM. IS /\ PLO = /\...

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  4. In Fig. (ii), AD = BC and AD || BC. IS AB = DC? Give reasons in suppor...

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  5. In the adjoining figure, AB = AC and BD = DC. Prove that /\ ADB = /\ A...

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  6. In the adjoining figure, ABC is a triangle in which AD is the bisector...

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  7. In the adjoining figure, AB = AD and CB = CD. Is /\ ABC ~= /\ ADC ?...

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  8. In the given figure, PA bot AB, QB bot AB and PA = QB. Which of the...

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  9. In the given figure, triangles ABC and DCB are right angled at A and D...

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  10. In the adjoining figure, /\ ABC is an isosceles triangle in which AB =...

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  11. In the adjoining figure, P and Q are two points on equal sides AB and ...

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  12. In the given figure, /\ ABC is an isosceles triangle in which AB - AC....

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  13. In the adjoining figure, ABC is an isosceles triangle in which AB = AC...

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  14. If two triangles have their corresponding angles equal, are they alway...

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  15. Are two triangles congruent if two sides and an angle of one triangle ...

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  16. Draw /\ ABC and /\ PQR such that they are equal in area but not congru...

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  17. Fill in the blanks: Q (i) Two line segments are congruent if they have...

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  18. Which of the following statements are true and which of them are false...

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