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State True or False : If three angles of two triangles are equal, triangles are congruent.

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If the area of two similar triangles are equal then the triangles are congruent.

All the triangles equal in area are congruent.

If the areas of two similar triangles are equal, prove that they are congruent.

Assertion (A): Two similar triangles are always congruent. Reason (R ): It the area of two similar triangles are equal then the triangles are congruent

All congruent triangles are equal in area.

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NCERT EXEMPLAR-TRIANGLES-EXERCISE TRUE OR FALSE
  1. Two squares having same perimeter are congruent.

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  2. Two circles having same circumference are congruent.

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  3. State True or False : If three angles of two triangles are equal, tr...

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  4. If hypotenuse and an acute angle of one right triangle are equal to t...

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  5. The measure of three angles of a triangle are in the ratio 5 : 3 : 1. ...

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  6. In Fig. 6.31(i) and (ii), find the values of a, b and c.

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  7. In triangle XYZ, the measure of angle X is 30° greater than the measur...

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  8. In a triangle ABC, the measure of angle A is 40° less than the measu...

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  9. I have three sides. One of my angle measures 15°. Another has a measur...

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  10. Jiya walks 6 km due east and then 8 km due north. How far is she from ...

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  11. Jayanti takes shortest route to her home by walking diagonally across ...

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  12. In ∆PQR of Fig. 6.32, PQ = PR. Find the measures of ∠Q and ∠R.

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  13. In Fig. 6.33, find the measures of ∠ x and ∠ y.

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  14. In Fig. 6.34, find the measures of ∠ PON and ∠ NPO

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  15. Find the measure of ∠ A in Fig. 6.36

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  16. In a right-angled triangle if an angle measures 35°, then find the mea...

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  17. Each of the two equal angles of an isosceles triangle is four times th...

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  18. The angles of a triangle are in the ratio 2 : 3 : 5. Find the angles

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  19. If the sides of a triangle are produced in an order, show that the sum...

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  20. In ∆ABC, if ∠A = ∠C, and exterior angle ABX = 140°, then find the angl...

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