Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and the leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle.The given statement is known as:

S S S

congruence of two triangles

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A S A

congruence of two triangles

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S A S

congruence of two triangles

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R H S

congruence of two right-angled triangles

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Solution

The correct option is D $R H S$ congruence of two right-angled triangles
Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and the leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle. It is known as $R H S$ congruence of two right-angled triangles.

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Two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle. What is this condition called?

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

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

Q. If the two legs of a right angled triangle are equal and square of the hypotenuse is 128 then the length of each leg is__

Q. If the two legs of a right angled triangle are equal and the square of the hypotenuse is

100 c m^{2}

, then the length of each leg is _________.

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