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Two right angles are congruent...

Two right angles are congruent

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Consider the following statements : 1. Congruent triangles are similar. 2. Similar triangles are congruent. 3. If the hypotenuse and a side of one right triangle are equal to the hypotenuse and a side of another right triangle respectively, then the two right triangles are congruent. Which of the statements given above is/are correct ?

Prove that Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and one side of the other triangle.

Right Hand Side Congruence Condition (RHS) Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and ne side of the other triangle.

Two acute angles are congruent

Fill in the blanks: Two square are congruent if Two rectangles are congruent if Two circles are congruent if

Side Angle Side (SAS) Congruence - Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle.

SAS CONGRUENCE CONDITION Two triangles are congruent if two sides and the included angle of the one are respectively equal to the two sides and the included angle of the other.

ASA CONGRUENCE CONDITION Two triangles are congruent if two angles and the included side of the one are respectively equal to the two angles and the included sides of the other.

Assertion (A) : If two triangles are congruent their corresponding angles are equal. Reason (R ) : Area of two congruent triangles are equal.

NCERT EXEMPLAR-TRIANGLES-EXERCISE TRUE OR FALSE
  1. A one rupee coin is congruent to a five rupee coin. (True/False)

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  2. Two acute angles are congruent

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  3. Two right angles are congruent

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  4. Two figures are congruent, if they have the same shape.

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  5. If the areas of two squares is same, they are congruent.

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  6. If the areas of two rectangles are same, they are congruent

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  7. If the areas of two circles are the same, they are congruent.

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  8. Two squares having same perimeter are congruent.

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  9. Two circles having same circumference are congruent.

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

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

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

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

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

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

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

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

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

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

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

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