Under which of the following criteria, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle?

ASA congruence

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RHS congruence

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SSS congruence

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SAS congruence

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Solution

The correct option is B RHS congruence
In RHS congruence, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle.

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Similar questions

Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the

a) RHS congruence criterion
b) ASA congruence criterion
c) SAS congruence criterion
d) AAA congruence criterion

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

Is it necessary to have a 90° angle in rhs congruence rule or by having equal hypotenuse and equal side we can apply RHS congruence rule?

Q. According to RHS rule of congruency, the two right triangles are congruent if the sides opposite to hypotenuses are equal and ____ are equal.

Q. Consider the following statements relating to the congruency of two right triangles.
(1) Equality of two sides of one triangle with any two sides of the second makes the triangle congruent.
(2) Equality of the hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangle congruent.
(3) Equality of the hypotenuse and an acute angle of one triangle with the hypotenuse and an angle of the second respectively makes the triangle congruent.
Of these statements:

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Under which of the following criteria, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle?

The correct option is B RHS congruenceIn RHS congruence, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle.

The correct option is B RHS congruence
In RHS congruence, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle.