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

SAS

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SSS

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ASA

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RHS

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Solution

The correct option is D
RHS

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.

This condition is called RHS congruence of two triangles and is applicable only to right-angled triangles.

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Similar questions

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?

Q. 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:

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.

Question 99

State whether the statement is True or False.

If two legs of a right-angled triangle are equal to two legs of another right-angled triangle, then the right triangles are congruent.

If two right-angled triangles have their hypotenuses and one side equal,
then the two triangles are congruent by SAS congruence rule.

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